Question

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Answer 1

∠7 = 34°

Explanation:

Since r and s are parallel lines, then

∠2 and ∠5 are same- side interior angles and are supplementary, thus

∠5 = 180° - ∠2 = 180° - 146° = 34°

∠7 = ∠5 = 34° ( vertical angles are congruent )

Answer 2

m∠7=34°

Explanation:

m∠2=m∠8=146° because alternate interior angles are congruent.

m∠7=180-m∠8=34° because it is a linear pair.