Triangles Sum Theorem & Exterior Angle Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle 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 known, how can you find the third angle?

Back

You can find the third angle by subtracting the sum of the known angles from 180 degrees.

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

What does the Exterior Angle Theorem state?

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

If a triangle has angles measuring 45° and 65°, what is the measure of the third angle?

Back

The third angle measures 70°.

Front

Can a triangle have angles measuring 150°, 110°, and 100°? Why or why not?

Back

No, because the sum of these angles is 360°, which exceeds 180°.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60°.

Front

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

Back

It is a right triangle.

Front

How do you determine if a set of angles can form a triangle?

Back

A set of angles can form a triangle if their sum equals 180°.

Front

What is the measure of the missing angle if two angles are 30° and 70°?

Back

The missing angle measures 80°.