Question

□PQRS is cyclic. T is a point of ray SR such that S-R-T and

∠QRT= 100°

then what is the measure of ∠SPQ = ? why ?​

Answer 1

Answer:

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)

Step-by-step explanation:

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