Triangle Angle Theorems

Question 1

What is the measure of ∠EGF?

Revolt · Accepted Answer

✔ 65; °: 65; °: 115

Question 2

509095✔ 115

Revolt · Accepted Answer

✔ 115

Question 3

5060✔ 70120

Revolt · Accepted Answer

✔ 70

Question 4

Question 111725

Revolt · Accepted Answer

111725

Question 5

⇒ 10

Revolt · Accepted Answer

111751

Question 6

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

Question 7

✔ 506070120

Revolt · Accepted Answer

✔ 50

Question 8

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 9

they are supplementary anglesthey are complementary angles✔ of the triangle angle sum theorem

Revolt · Accepted Answer

✔ of the triangle angle sum theorem

Question 10

substitution propertyreflexive property✔ subtraction property

Revolt · Accepted Answer

✔ subtraction property

Triangle Angle Theorems Answers

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