Answer/Step-by-step explanation:
Given:
m<9 = 80°,
m<5 = 68°
Lines w and v are parallel to each other.
m<1 = m<9 (corresponding angles theorem)
m<1 = 80°
m<2 + m<1 = 180° (linear pair)
m<2 + 80° = 180° (substitution)
m<2 = 180° - 80°
m<2 = 100°
m<3 = m<1 (vertical angles are congruent)
m<3 = 80°
m<4 = m<2 (vertical angles are congruent)
m<4 = 100°
m<6 + m<5 = 180° (linear pair)
m<6 + 68° = 180° (substitution)
m<6 = 180° - 68°
m<6 = 112°
m<7 = m<5 (vertical angles)
m<7 = 68°
m<8 = m<6 (vertical angles)
m<8 = 112°
m<10 = m<2 (corresponding angles)
m<10 = 100°
m<11 = m<9 (vertical angles)
m<7 = 80°
m<12 = m<10 (vertical angles)
m<12 = 100°
m<13 = m<5 (corresponding angles)
m<13 = 68°
m<14 = m<6 (corresponding angles)
m<14 = 112°
m<15 = m<13 (vertical angles)
m<15 = 68°
m<16 = m<14 (vertical angles)
m<16 = 112°
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