Triangle Angle Theorems

Question 1

Question 111725

Revolt · Accepted Answer

111725

Question 2

Question 111726

Revolt · Accepted Answer

10

Question 3

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 4

What is the measure of ∠EGF?

Revolt · Accepted Answer

✔ 65; °: 65; °: 115

Question 5

509095✔ 115

Revolt · Accepted Answer

✔ 115

Question 6

What is the measure of ∠ABD?

Revolt · Accepted Answer

114°

Question 7

Which represents an exterior angle of triangle XYZ?

Revolt · Accepted Answer

∠JXZ

Question 8

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 9

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 10

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

Revolt · Accepted Answer

✔ 60; The measure of angle ABC is °.: 60; The measure of angle BAC is °.: 50; The measure of angle ACB is °.: 70

Triangle Angle Theorems Answers

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