Interior and Exterior Angles of Triangles

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side.

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If two angles of a triangle are 40 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 80 degrees (180 - 40 - 60 = 80).

Front

What is the relationship between interior and exterior angles at a vertex of a triangle?

Back

The interior angle and the exterior angle at a vertex are supplementary, meaning they add up to 180 degrees.

Front

What is the measure of an angle if it is complementary to a 33-degree angle?

Back

The measure of the angle is 57 degrees (90 - 33 = 57).

Front

If x + 40 = 90, what is the value of x?

Back

x = 50.

Front

What is the measure of an angle if it is supplementary to a 72-degree angle?

Back

The measure of the angle is 108 degrees (180 - 72 = 108).

Front

In a triangle, if one angle measures 85 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 95 degrees (180 - 85 = 95).