Triangle Angle Relationships and Calculations

The video tutorial explains how to find the measure of an interior angle, X, in a triangle. It begins by identifying the exterior angle of 122 degrees and calculates the missing interior angle as 58 degrees. With two known interior angles, the tutorial demonstrates how to find angle X by using the sum of interior angles in a triangle, which is 180 degrees. The process involves algebraic manipulation to solve for X, resulting in an interior angle of 49 degrees.

What is the relationship between an interior angle and its corresponding exterior angle in a triangle?

• They are equal.

• They add up to 90 degrees.

• They add up to 180 degrees.

• They are complementary.

If the exterior angle of a triangle is 122 degrees, what is the measure of the corresponding interior angle?

• 58 degrees

• 90 degrees

• 122 degrees

• 180 degrees

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

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Given two interior angles of a triangle are 58 degrees and 73 degrees, what is the measure of the third angle?

• 49 degrees

• 180 degrees

• 58 degrees

• 73 degrees

How do you solve for an unknown angle in a triangle when the other two angles are known?

• Subtract the known angles from 360 degrees.

• Multiply the known angles.

• Divide the sum of the known angles by 2.

• Add the known angles and subtract from 180 degrees.