# CBSE Class 9 Answered

**In the figure, PQRS is a trapezium in which PQ SR. if P = 55**

^{o}and Q = 70^{o}, find R andS.
Asked by Topperlearning User | 16 Aug, 2017, 02:24: PM

Expert Answer

PQ _{} SR _{} _{}P + _{}S = 180^{o} (co-interior angles)

_{}55

^{o}+

_{}S = 180

^{o}

_{}

_{}S =180

^{o}– 55

^{o}= 125

^{o}

Now

_{}Q +_{}R = 180^{o}(co-interior angles)_{}70

^{o}+

_{}R = 180

^{o}

_{}

_{}R = 180

^{o}– 70

^{o}= 110

^{o}

Hence

_{}R = 110^{o }and_{}S = 125^{o}
Answered by | 16 Aug, 2017, 04:24: PM

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