Triangle Sum and Exterior Sum

Front

What is the Triangle Sum Theorem?

Back

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

Front

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

Back

In an equilateral triangle, each angle measures 60°.

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 remote interior angles.

Front

If one angle of a triangle is 50° and another is 60°, what is the measure of the third angle?

Back

The third angle measures 70° (180° - 50° - 60° = 70°).

Front

What is a remote interior angle?

Back

A remote interior angle is an interior angle of a triangle that is not adjacent to a given exterior angle.

Front

How do you find the measure of an exterior angle if the remote interior angles are 40° and 50°?

Back

The exterior angle measures 90° (40° + 50° = 90°).

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 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 relationship between the angles in a right triangle?

Back

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