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makvit [3.9K]
2 years ago
10

Can somebody help me asap.

Mathematics
1 answer:
ehidna [41]2 years ago
7 0

Answer:

Step-by-step explanation:

1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)

2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)

3) y║z (Given)

4) ∠1 ≅ ∠5 (alternate interior angles theorem)

5) ∠3 ≅ ∠6 (alternate interior angles theorem)

6) Since m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

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