Question

Given: 21 and 22 are complements,

22 and 23 are complements, and mz1 = 35°.
Prove: mz3 = 35°

Answer 1

Explanation:

m∠1 = 35°

m∠1 +m∠2 = 90° {The two angles are compliments}

35 + m∠2 = 90°

m∠2 = 90 - 35

m∠2 = 55°

m∠2 + m∠3 = 90° {The two angles are compliments}

55 + m∠3 = 90°

m∠3 = 90° - 55°

m∠3 = 35°