Question

(ii) PQRS is cyclic and Q-R-T. IF ZOPS = 110°, QRS=x and SRT =y,
then find the values of x and y.
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Answer 1

Answer:

QPS=110°(Given)

therefore QPS+QRS=180° (In a cyclic quadrilateral opposite angles add up to 180°)

110°+QRS=180°

QRS=180°-110°

QRS=70°

Now for SRT

SRT=QPS (In a cyclic quadrilateral exterior angle is equal to interior opposite angle)

therefore SRT=110°

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