Triangle Sum Theorem and Exterior Angle Theorem

Front

What does the Triangle Sum Theorem state?

Back

The Triangle Sum Theorem states that the sum of all angles in a triangle is 180 degrees.

Front

If two angles in a triangle are 45° and 75°, what is the measure of the third angle?

Back

60°

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 is the relationship between an exterior angle and the remote interior angles?

Back

The exterior angle is equal to the sum of the two remote interior angles.

Front

Define remote interior angles in the context of a triangle.

Back

Remote interior angles are the two angles inside the triangle that are not adjacent to the exterior angle.

Front

What is the formula to find the measure of an exterior angle?

Back

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

Front

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

Back

It is a right triangle.

Front

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

Back

Each angle in an equilateral triangle measures 60°.

Front

How do you calculate the measure of an angle in a triangle if you know the other two angles?

Back

Subtract the sum of the known angles from 180°.

Front

What is the sum of the angles in any triangle?

Back

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