(Honors) Triangle Angle Sum & Exterior Angle Theorems

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If two angles of a triangle are 52° and 16°, what is the measure of the third angle?

Back

The third angle is 112° (180° - 52° - 16°).

Front

What is an exterior angle of a triangle?

Back

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

Front

State the Exterior Angle Theorem.

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

In a right triangle, what is the relationship between the angles?

Back

In a right triangle, one angle measures 90°, and the sum of the other two angles is 90°.

Front

What are the angle measures in an equilateral triangle?

Back

In an equilateral triangle, all three angles measure 60°.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle, subtract the sum of the known angles from 180°.

Front

What type of triangle has one angle greater than 90°?

Back

An obtuse triangle has one angle greater than 90°.

Front

What is the measure of each angle in a right isosceles triangle?

Back

In a right isosceles triangle, the angles measure 90°, 45°, and 45°.

Front

If one angle of a triangle is 44°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 136° (180° - 44°).