Question

If the measure of MNL is 43, find the measures of the following angles. Be sure to justify each measure by writing the variable and equation used to find the measurement.

mONP = _____________




mLNO = ______________




mMNP = _______________

Answer 1

m<MNL = m<ONP = 43 (vertical angles)
m<LNO = m<MNP = 180 - 43 = 137 (vertical angles)

answer
m<ONP = 43
m<LNO = 137
m<MNP = 137

Answer 2

1). ∠ONP = 43°

2). ∠LNO = 137°

3). ∠MNP = 137°

Explanation:

Measure of angle MNL is given as 43°.

Now we have to find the measure of the angles given.

1). m ∠ONP = 43° [Since ∠ONP and ∠ MNL are vertically opposite angles]

2). m ∠LNO = 180° - m ∠LNM = 180° - 43° = 137° [ Since ∠LNO and ∠LMN are supplementary angles ]

3). m ∠MNP = 180° - ∠LNM = 180 - 43 = 137° [ Since ∠MNP and ∠LMN are supplementary angles ]