PQ parallel RS and AB is a transversal of PQ and RS also angle MNR = 120 degree. find all the remaining angles
Answers
Answer:
1. angleMNR + angleMNS = 180°(straight
angle)
Or, angleMNS = 180°-120°
= 60°
2. angleRNB = angleMNS (vertically
opposite
angles)
Or, angleRNB = 60°
3.angleSNB = angleMNR (vertically
opposite
angles)
Or, angleSNB = 120°
4.angleQMN = angleMNR (alternate
interior
angles)
Or, angleQMN = 120°
5.angleQMN = angleMNR (alternate
interior
angles)
Or, angleQMN = 120°
6.anglePMN = angleMNS (alternate
interior
angles)
Or, anglePMN = 60°
7.angleAMP =angleQMN (vertically
opposite
angles)
Or, angleAMP = 120°
8. angleAMQ = anglePMN (vertically
opposite
angles)
Or, angleAMQ = 60°
Ans.
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Step-by-step explanation:
1.angle MNS =60 besause of linear pair
2. angle NMQ = 120 because of verticalbopposite angle
3. angle NMP =60 because of opposite angle