Answer:
m∠1 = m∠3 = m∠5 = m∠7 = m∠9 = m∠11 = m∠14 = m∠16 = 20°
m∠2 = m∠4 = m∠6 = m∠8 = m∠10 = m∠12 = m∠13 = m∠15 = 160°
Step-by-step explanation:
m∠3 = m∠1 = 20° {vertical angles]
m∠3 = m∠14 = m∠7 = 20° [Corresponding angles]
m∠3 + m∠6 = 180° [Consecutive interior angles]
m∠6 = 180 - 20 = 160°
m∠2 + m∠3 = 180° [Supplementary angles]
m∠2 = 180 - 20 = 160°
m∠4 = m∠2 = 160° [Vertical angles]
m∠2 = m∠6 = m∠10 = m∠15 = 160° [Corresponding angles]
m∠7 = m∠9 = 20° [Corresponding angles]
m∠10 = m∠12 = 160° [Vertical angles]
m∠12 = m∠13 = 160° [Corresponding angles]
m∠1 = m∠5 = m∠16 = 20° [Corresponding angles]
m∠14 = m∠16 = 20° [Vertical angles]
m∠13 = m∠15 = 160° [Vertical angles]
Therefore, m∠1 = m∠3 = m∠5 = m∠7 = m∠9 = m∠11 = m∠14 = m∠16 = 20°
m∠2 = m∠4 = m∠6 = m∠8 = m∠10 = m∠12 = m∠13 = m∠15 = 160°
