Question

The diagram shows a rectangle PQRS.T lies on PQ such that anglePST =51° and angleSRT =68°​

Answer 1

PST+ RST = 90⁰

51⁰ + RST = 90⁰

RST = 90⁰ - 51⁰

RST = 39⁰

In /\ STR ,

RST + RTS + SRT = 180⁰

39⁰ + RTS + 68⁰ = 180⁰

RTS = 180⁰ - 107⁰

RTS = 73⁰

in /\ TPS,

TPS + PST + PTS = 180⁰

90⁰ + 51⁰ +PTS = 180⁰

PTS = 180⁰ - 141⁰

PTS = 39⁰

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