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

What are the three types of angles based on their measures?

Back

Acute angles (less than 90°), right angles (exactly 90°), and obtuse angles (greater than 90° but less than 180°).

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a 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 one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is the measure of the third angle in a triangle if the other two angles are 36° and 144°?

Back

The third angle measures 0°, which means the angles do not form a triangle.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180°.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

Given angles of 50°, 50°, and 80°, do they form a triangle?

Back

No, they do not form a triangle because their sum is 180°.

Front

What is the measure of angle b if angle a is 36° and they are supplementary?

Back

Angle b measures 144°.