Exterior Angle of a Triangle Example Problem

Steph Curry explains how to find an unknown angle in a triangle using the properties of interior and exterior angles. He demonstrates a step-by-step solution to a problem and introduces a shortcut for calculating exterior angles, emphasizing that the exterior angle equals the sum of the two non-adjacent interior angles.

What is the sum of the interior angles of a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If two angles of a triangle are 72 degrees and 45 degrees, what is the measure of the third angle?

• 93 degrees

• 83 degrees

• 63 degrees

• 73 degrees

What is the value of x if x plus 63 equals 180?

• 127

• 117

• 107

• 137

What is the shortcut method for finding the exterior angle of a triangle?

• It is equal to the difference between the largest and smallest interior angles.

• It is equal to the sum of the two non-adjacent interior angles.

• It is equal to the sum of all three interior angles.

• It is equal to the sum of the adjacent interior angle and 90 degrees.

Why are the two non-adjacent interior angles equal to the exterior angle?

• Because they are always complementary.

• Because they are always supplementary.

• Because they are subtracted from the same 180 degrees.

• Because they are always equal.