How to find an angle in other quadrilaterals - ISEE Upper Level Mathematics Achievement

Card 0 of 4

Question

Three of the interior angles of a quadrilateral measure , , and . What is the measure of the fourth interior angle?

Answer

The measures of the angles of a quadrilateral have sum . If is the measure of the unknown angle, then:

The angle measures .

Compare your answer with the correct one above

Question

The angles of a quadrilateral measure . Evaluate .

Answer

The sum of the degree measures of the angles of a quadrilateral is 360, so we can set up and solve for in the equation:

Compare your answer with the correct one above

Question

The four angles of a quadrilateral have the following value: 79 degrees, 100 degrees, 50 degrees, and degrees. What is the value of ?

Answer

Given that there are 360 degrees when all the angles of a quadrilateral are added toghether, this problem can be solved with the following equation:

Compare your answer with the correct one above

Question

In a quadrilateral, the angles have the following values:

.

What is the value of ?

Answer

Given that there are 360 degrees when the angles of a quadrilateral are added together, it follows that:

Compare your answer with the correct one above

Tap the card to reveal the answer