ICSE Class X Math 2016 Solved Paper

In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T.

Question : 24

Total: 57

Prove △TPS∼△TRQ.

Solution:

In ∆ TPS and ∆ TRQ
‌∠PST=∠RQT
‌∠SPQ=∠QRT
[∵ exterior angle of cyclic quadrilateral is equal to the interior opposite angle]
∠T‌=∠T‌‌ (common) ‌
∴‌‌∆TPS‌∼∆TRQ‌(‌ By AA) ‌

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