Exterior Angle Theorem Quiz

What does the exterior angle theorem state about the relationship between an exterior angle and its remote interior angles?

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

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

• The exterior angle is half the sum of the remote interior angles.

• The exterior angle is twice the sum of the remote interior angles.

In the introduction, what is the term used for the angles that do not touch the exterior angle?

• Complementary angles

• Supplementary angles

• Remote interior angles

• Adjacent angles

In the first example, what is the value of X when the remote interior angles are 58 and 41 degrees?

• 98 degrees

• 97 degrees

• 100 degrees

• 99 degrees

In the second example, what is the value of X when the equation is 2x + 93 = 113?

• 8

• 10

• 12

• 15

Which of the following is NOT a step in solving for X in the second example?

• Combine like terms

• Subtract 93 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the measure of angle Y in the third example if the other two angles in the triangle are 31 and 66 degrees?

• 89 degrees

• 83 degrees

• 85 degrees

• 87 degrees

In the third example, what is the value of X when the remote interior angles are 31 and 66 degrees?

• 97

• 96

• 98

• 95

What is the value of Z in the third example if the angles in the triangle are 97 and 60 degrees?

• 23

• 22

• 21

• 24

What is the sum of the angles in a triangle as used in the third example?

• 360 degrees

• 180 degrees

• 270 degrees

• 90 degrees

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