Triangle Angle Sum/Exterior Angle with Algebra

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

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 an exterior angle of a triangle?

Back

An exterior angle 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 two opposite interior angles?

Back

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

Front

If the angles of a triangle are represented as x, y, and z, what equation represents the Triangle Angle Sum Theorem?

Back

x + y + z = 180 degrees.

Front

How do you find the value of an unknown angle in a triangle if two angles are known?

Back

Subtract the sum of the known angles from 180 degrees.

Front

If one angle of a triangle is 40 degrees and another is 60 degrees, what is the third angle?

Back

The third angle is 80 degrees (180 - 40 - 60 = 80).

Front

What is the formula for finding the exterior angle of a triangle?

Back

Exterior angle = Interior angle 1 + Interior angle 2.

Front

In a triangle, if one angle is 70 degrees and the other is 50 degrees, what is the exterior angle adjacent to the 50-degree angle?

Back

The exterior angle is 100 degrees (70 + 50 = 120; 180 - 120 = 60).

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees.