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