Question

Look at the figure above: If the measure of <MNL is 43°, find the measures of the following angles. Be sure to justify each measure by writing the varible and equation used to find the measurement.

m<ONP=____________
m<LNO=____________
m<MNP=____________

Answer 1

NP = 43

LNO = 137

MNP = 137

Explanation:

MNL is a vertical angle to PNO, therefore they are equal

MNL = PNO

MNL = 43 = PNO

MNL and LNO are supplementary angles. They add to 180 degrees

MNL + LNO = 180

43+LNO = 180

Subtract 180 from each side

43-43 +LNO = 180-43

LNO = 137

LNO and MNP are vertical angles. Vertical angles are equal

LNO = MNP

137=MNP