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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 .

User Bob Marti
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2 Answers

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15 votes

Answer: the answer is this

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

✔ angle addition postulate.

We also know m∠CAB + m∠ACB + m∠CBA = 180° because

✔ of the triangle angle sum theorem.

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

✔ subtraction property.

Explanation: I got it correct this is show down below.

We start with triangle ABC and see that angle ZAB is an exterior angle created by-example-1
User Nishad
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8 votes

Answer:

1. angle addition postulate

2. of the triangle angles sum theorem

3.subtraction property

Step-by-step explanation:

I just finished this assignment

User Shubham Garg
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