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✪ Solution : Since PQRS is trapezium, PQ || SR.
➣ Due to sum of interior consecutive angles,
∠P + ∠S = 180° __(i)
➣ Since PQRS is cyclic quadrilateral that's why,
∠S + ∠Q = 180° __(ii)
➣ Form (i) and (ii) equations we get,
∠P + ∠S = ∠S + ∠Q
➣ Canceling same terms,
∠P = ∠Q
✍ Thus we have proved above equations with reasons.
➣ Due to sum of interior consecutive angles,
∠P + ∠S = 180° __(i)
➣ Since PQRS is cyclic quadrilateral that's why,
∠S + ∠Q = 180° __(ii)
➣ Form (i) and (ii) equations we get,
∠P + ∠S = ∠S + ∠Q
➣ Canceling same terms,
∠P = ∠Q
✍ Thus we have proved above equations with reasons.
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