Answer/Step-by-step explanation:
✅m<1 = 180 - 52° = 128° (consecutive interior angles)
✅m<2 and 52° are alternate interior angles. Alternate interior angles are congruent.
Therefore:
m<2 = 52°
✅m<3 and 47° are alternate interior angles. Alternate interior angles are congruent.
Therefore:
m<3 = 47°
✅m<4 = 180 - m<3 (linear pair)
m<4 = 180 - 47 (substitution)
m<4 = 133°
✅m<5 = 180 - (52 + 47) (angles on a straight line)
m<5 = 81°