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In ∆PQR,
angle PQR = Angle PRT
angle PQR + angle PQS = 180 ( linear pair)
angle PRQ + angle PRT = 180 ( linear pair)
angle PQR + angle PQS = angle PRQ + Angle PRT
Then,
Angle PQS = angle PRT
angle PQR = Angle PRT
angle PQR + angle PQS = 180 ( linear pair)
angle PRQ + angle PRT = 180 ( linear pair)
angle PQR + angle PQS = angle PRQ + Angle PRT
Then,
Angle PQS = angle PRT
Nibasini:
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Answered by
4
here , angle PQR = angle PRQ
so,In linear pair
angle PQR + angle PQS = 180°------------1
angle PRQ + angle PRT = 180°----------2
equate both equation ,
=>angle PQR + angle PQS = angle PRQ + angle PRT
=>angle PQR + angle PQS = angle PQR + angle PRT
=> here PQR cancelled both side of equation
so , =>angle PQS = angle PRT , hence proved
so,In linear pair
angle PQR + angle PQS = 180°------------1
angle PRQ + angle PRT = 180°----------2
equate both equation ,
=>angle PQR + angle PQS = angle PRQ + angle PRT
=>angle PQR + angle PQS = angle PQR + angle PRT
=> here PQR cancelled both side of equation
so , =>angle PQS = angle PRT , hence proved
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