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Step-by-step explanation:
Here,
1. angle PQR= angle PRQ [Given]
2.angle PQS= 180°- angle PQR [ Being supplementary angle]
3. angle PRT=180° - angle PRQ [ Being supplementary angle]
4. angle PRT = 180° - angle PQR
[ From St. no 1]
5. angle PQS = angle PRT [ From st. no 2 and 4]
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Answer:
let us consider
angle PQR be 1
angle PRQ be 2
angle PQS be 3
angle PRT be 4
it is given that 1=2.........(#)
by linear pair--
1+3=180°. (1)
2+4=180°. (2)
equating (1) and (2).....
1+3=2+4......(4)
putting value of (#) in equation (4)
1+3=1+4
1 is cancelled by 1
therefore, 3=4
=PQS=PRT
hence proved
.....,
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