Triangle Angle Theorems

Question 1

Question 1

Revolt · Accepted Answer

111751

Question 2

Question 2

Revolt · Accepted Answer

115

Question 3

What is the measure of ∠EGF? ° What is the measure of ∠CGF? °

Revolt · Accepted Answer

65; Selection 1: 65; Selection 2: 115

Question 4

What is the measure of ∠ABD?

Revolt · Accepted Answer

114°

Question 5

Which represents an exterior angle of triangle XYZ?

Revolt · Accepted Answer

∠JXZ

Question 6

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

Revolt · Accepted Answer

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

Question 7

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

Revolt · Accepted Answer

m∠3 + m∠4 = 180°; m∠2 + m∠4 + m∠6 = 180°; m∠2 + m∠4 = m∠5

Question 8

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions. The measure of angle ABC is °. The measure of angle BAC is °. The measure of angle ACB is °.

Revolt · Accepted Answer

Selection 1: 60; Selection 2: 50; Selection 3: 70

Question 9

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. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because . Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .

Revolt · Accepted Answer

Selection 1: angle addition postulate; Selection 2: of the triangle angle sum theorem; Selection 3: subtraction property

Triangle Angle Theorems Answers

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