Question

If SRP = 40° and Angle QSP = 110° , then find angle PSQ

Answer 1

$\bf\large\underline\green{Solution-}$

➤ Given that, SRP=40,

QSP=100

PSQ=?

Since, it is a trapezium, so PS is parallel To QR,

So, area PQS=area QRS, (triangle on the same base and between the same parallels have equal areas)

So, SRP=PQS=40

by angle sum property in the triangle QPS,

40+110+PSQ= 180

150+PSQ=180

PSQ=180-150

➤PSQ=30

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