Find the measure of angle 7

63°

Step-by-step explanation:

Knowing that opposite angles are equivalent, we can easily say that ∠3 is equivalent to 63°. ∠1 and ∠4 are the complements of the given angle and ∠3, so their measures are also the same and are equivalent to 180°-63°=117°.

Since the two horizontal lines are parallel, ∠6 is equivalent to ∠3, so it too is 63°. Its complements, ∠5 and ∠8, are thus equivalent to the complements of ∠1 and ∠4, and thus they are 117°. Lastly, since opposite angles are equivalent, ∠6 is equivalent to ∠7, and so ∠7 is also 63°.

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