Triangle Sum and Exterior Sum

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 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. It is equal to the sum of the two remote interior angles.

Front

Define Remote Interior Angles.

Back

Remote Interior Angles are the two angles inside a triangle that are not adjacent to a given exterior angle.

Front

What is the measure of the angles in an equilateral triangle?

Back

In an equilateral triangle, each angle measures 60 degrees.

Front

What is 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 remote 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 sum of the angles in any triangle?

Back

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

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 degrees.

Front

What is the measure of angle b if angle a is 90 degrees and angle c is 54 degrees?

Back

Angle b measures 36 degrees (90 + 54 + b = 180).

Front

Which set of angles can form a triangle? 50, 60, 70 or 50, 60, 40?

Back

The angles 50, 60, 70 can form a triangle because their sum is 180 degrees.