Question

MN is parallel to PO. Find each unknown angle measure.
24
ON
22°
M
S

Answer 1

Explanation:

MN // PO

∠OMN =∠POM { alternate interior angles}

∠OMN = 34

∠PMO + ∠OMN + ∠1 = 180 {STRAIGHT LINE}

22 + 34 +∠1 = 180

56 +∠1 = 180

∠1 = 180 - 56

∠1 = 124

∠OPM =∠1 { Corresponding angles, PO//MN AND PM IS TRANSVERSL}

∠OPM = 124