You have two parallel lines crossed by a secant line. Based on the congruency of the angles, you have:
m∠1 = m∠5 = 63°
m∠2 = 180 - 63 = 117°
m∠3 = m∠2 = 117°
m∠4 = m∠1 = 63°
m∠5 = 63°
m∠6 = m∠2 = 117°
m∠7 = m∠5 = 63°
m∠8 = m∠6 = 117°
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