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Exterior Angles of a Triangle Answers

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5

Which statements are true based on the given diagram? Select all that apply.

A
∠1 is a remote interior angle to exterior ∠5.
B
∠2 is a remote interior angle to both exterior angles 4 and 5.
C
∠3 is an adjacent interior angle to exterior ∠4.
D
∠1 and ∠5 are supplementary angles.
E
∠2 and ∠4 are congruent angles.
7

Cody found the sum of the exterior angles to be 380°. Did Cody make an error? If so describe it.

A
No, Cody did not make an error. The sum of the exterior angles of a triangle should be 380°.
B
Yes, Cody made an error adding the three exterior angles together.
C
Yes, Cody made an error drawing the exterior angles. The 145° angle is not an exterior angle.
D
Yes, Cody made an error drawing the exterior angles. The 100° angle is not an exterior angle.
8

90180✔ 360 degrees

A
90
B
180
C
✔ 360
9

Choose the statements that are true based on the diagram.

A
∠A is supplementary to the exterior angle.
B
∠A and the 80° angle are remote interior angles.
C
80° + m∠B + 150° = 360°.
D
∠B measures 70°.
E
∠A measures 40°.
10

Choose the equation that cannot be used to find the measure of angle B.

A
m∠B = m∠C + 28°.
B
m∠B = 360° – (m∠D + 125°).
C
m∠B = 180° – m∠A.
D
m∠B = m∠D + 125°.

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