How to find an angle in an acute / obtuse triangle

Practice Questions

PSAT Math › How to find an angle in an acute / obtuse triangle

Questions
8
1

Which of the following can NOT be the angles of a triangle?

2

An exterior angle of an isosceles triangle measures . What is the least measure of any of the three interior angles of the triangle?

3

An exterior angle of an isosceles triangle measures . What is the greatest measure of any of the three angles of the triangle?

4

5

Let the measures, in degrees, of the three angles of a triangle be x, y, and z. If y = 2z, and z = 0.5x - 30, then what is the measure, in degrees, of the largest angle in the triangle?

6

Slide2

In the picture above, is a straight line segment. Find the value of .

7

If the average of the measures of two angles in a triangle is 75o, what is the measure of the third angle in this triangle?

8

Angles x, y, and z make up the interior angles of a scalene triangle. Angle x is three times the size of y and 1/2 the size of z. How big is angle y.

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