Solving for an inteior angle given one interior angle and exterior angle in two ways ex 8

The video tutorial explains how to solve problems involving exterior and interior angles using the exterior angle theorem. It demonstrates two methods: one using the theorem directly and another using the concept of supplementary angles. The tutorial emphasizes understanding the relationships between angles in a triangle and provides step-by-step solutions to example problems.

What does the exterior angle theorem state?

• The exterior angle is equal to the product of the opposite interior angles.

• The exterior angle is equal to the difference of the opposite interior angles.

• The exterior angle is equal to the sum of the adjacent interior angles.

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

If an exterior angle measures 95 degrees and one of the opposite interior angles is 68 degrees, what is the measure of the other interior angle?

• 47 degrees

• 27 degrees

• 17 degrees

• 37 degrees

How can you find an unknown angle in a triangle if you know the other two angles?

• Add the two known angles and subtract from 360 degrees.

• Add the two known angles and subtract from 180 degrees.

• Multiply the two known angles and subtract from 180 degrees.

• Divide the two known angles and subtract from 180 degrees.

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

• 360 degrees

• 270 degrees

• 90 degrees

• 180 degrees

Which of the following is true about supplementary angles?

• They add up to 360 degrees.

• They add up to 270 degrees.

• They add up to 180 degrees.

• They add up to 90 degrees.