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=

NP = 43

LNO = 137

MNP = 137

Step-by-step 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

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.