Inscribed and Circumscribed Circle of Triangles: CCSS.Math.Content.HSG-C.A.3 - Common Core: High School - Geometry
Card 0 of 12
From the following picture, determine x and y.
From the following picture, determine x and y.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
, and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
and 
.
Now let's solve for 
and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
and 
.
Now let's solve for 
and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
and 
.
Now let's solve for 
and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
and 
.
Now let's solve for 
and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
, and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
, and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
, and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine \uptext{x}, and \uptext{y}.
From the following picture, determine \uptext{x}, and \uptext{y}.
Explanation
INSERT PICTURE HERE
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 360^{\circ}.
The last thing we know, the most important one is all opposite angles must equal 180^{\circ}.
Now we need to set up equations to solve for \uptext{x}, and \uptext{y}.
180 = y + 117.0
180 = x + 63.0
Now let's solve for \uptext{x}, and \uptext{y}.
y = 63.0
x = 117.0
Explanation
INSERT PICTURE HERE
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 360^{\circ}.
The last thing we know, the most important one is all opposite angles must equal 180^{\circ}.
Now we need to set up equations to solve for \uptext{x}, and \uptext{y}.
180 = y + 117.0
180 = x + 63.0
Now let's solve for \uptext{x}, and \uptext{y}.
y = 63.0
x = 117.0
Compare your answer with the correct one above
From the following picture, determine 
, and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above
From the following picture, determine 
, and 
.
From the following picture, determine
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal 
.
The last thing we know, the most important one is all opposite angles must equal 
.
Now we need to set up equations to solve for 
, and 
.
Now let's solve for 
, and 
.
Since this polygon is inscribed within a circle, we know a few things.
The first thing we know is that the sum of all the interior angles must equal
The last thing we know, the most important one is all opposite angles must equal
Now we need to set up equations to solve for
Now let's solve for
Compare your answer with the correct one above