Triangle Angle Theorems

Question 1

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition.

Revolt · Accepted Answer

We know that m∠ZAB + m∠CAB = 180° by the .: angle addition postulate; We also know m∠CAB + m∠ACB + m∠CBA = 180° because .: of the triangle angle sum theorem; Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .: subtraction property

Question 2

What is the measure of ∠ABD?

Revolt · Accepted Answer

C: 114°

Question 3

Which represents an exterior angle of triangle XYZ?

Revolt · Accepted Answer

C: ∠JXZ

Question 4

Which statement justifies that angle XAB is congruent to angle ABC?

Revolt · Accepted Answer

D: Alternate interior angles of parallel lines cut by a transversal are congruent.

Question 5

Which statements are always true regarding the diagram? Check all that apply.

Revolt · Accepted Answer

A: m∠3 + m∠4 = 180°; B: m∠2 + m∠4 + m∠6 = 180°; C: m∠2 + m∠4 = m∠5

Question 6

50✔ 6070120

Revolt · Accepted Answer

B: ✔ 60

Question 7

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition.

Revolt · Accepted Answer

A: ✔ angle addition postulate

Question 8

509095✔ 115

Revolt · Accepted Answer

D: ✔ 115

Question 9

✔ 506070120

Revolt · Accepted Answer

A: ✔ 50

Question 10

5060✔ 70120

Revolt · Accepted Answer

C: ✔ 70

Triangle Angle Theorems Answers

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