Question

HELP ASAP PLEASE

Given parallelogram MNOP, find mZNPO. M N m/NMO = 48° m/MQP = 95° mZNPO = [?]° P Enter​

Answer 1

The answer to your problem is, <NPO = 47 Degrees or 47

Explanation:

<NPO = 47

Exterior Angle Theorem: <MNQ + <NMQ = <MQP

Substitute: <MQP = 95, < NMQ = 48 into <MNQ = <MQP + 48 = 95

Calculate: <MNQ + 48 = 95 : <MNQ = 47

Representing same angles: <MNQ = <MNP

Subsitute <MNQ = 47 into <MNQ = <MNP: 47 = <MNP

Calculate: 47 = <MNP : <MNP = 47

Alternative Interior Angles Theorem: <MNP = <NPO

Subsitute: <MNP = 47 into <MNP = <NPO : 47 = <NPO

Calculate 47 = <NPO = 47

Thus the answer to you problem is, <NPO = 47 or 47