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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 = _______________

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 meas class=

Respuesta :

choixongdong
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:

1). ∠ONP = 43°

2). ∠LNO = 137°

3). ∠MNP = 137°

Step-by-step 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 ]

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