Question

Find all missing angles.

Answer 1

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°