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8. if m∠6=70°, what is the measure of ∠1?

a. 70°
b. 90°
c. 110°
d. 130°

✨please let me know the answer please
with explanation and I'll mark you as a brainliest answer✨​


Sagot :

Answer:

The diagram shows that m∠1 = 90.

∠1 and ∠3 are vertical angles. Their measures are equal, so m∠3 = 90.

∠1 and ∠2 are supplementary.

m∠1 + m∠2 = 180 Definition of supplementary angles

90 + m∠2 = 180 Substitute 90 for m∠1.

m∠2 = 90 Subtract 90 from each side.

∠2 and ∠4 are vertical angles. Their measures are equal, so m∠4 = 90.

ANSWER: m∠2 = m∠3 = m∠4 = 90

Perpendicular Lines