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3 years ago

Find the angle measures. Justify your responses. Given: a||b, m∠3=63 Find: m∠6,m∠7

Mathematics

1 answer:

AysviL [449]3 years ago

4 0

Answer:

m∠6 = 117°

m∠7 = 63°

Step-by-step explanation:

It's given that a║b and m∠3 = 63°

Since, ∠3 and ∠6 are the consecutive interior angles,

m∠3 + m∠6 = 180°

63° + m∠6 = 180°

m∠6 = 180° - 63°

= 117°

Since, ∠3 and ∠7 are the corresponding angles,

Therefore, ∠3 ≅ ∠7

m∠7 = m∠3 = 63°

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