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CBSE Class 12-science Answered

Plz solve it sir     In triangle PQR, angle QPR = α and angle PQR = β, where α < β. The line RM bisects angle PRQ and RN is the perpendicular from R to the line PQ. What is the size in degrees of angle MRN ?
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Asked by Soma | 21 Feb, 2019, 04:23: PM
answered-by-expert Expert Answer
anglePRM = (1/2) [ 180 -α -β ] = 90 -(1/2)(α+β)
angleRMN = α + anglePRM = α +90 -(1/2)(α+β) = 90+(1/2)(α -β)
angleMRN = 90 - angleRMN = 90 -90 -(1/2)(α -β)  = (1/2)(β - α)
Answered by Thiyagarajan K | 21 Feb, 2019, 11:36: PM
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