Question

Lines and angles
9th grade

Answer 1

Answer:

Step-by-step explanation:

Angle PQS + Angle PQR = 180 -------------1

Angle PRT + Angle PRT = 180 ------------2

EQUATION 1 = EQUATION 2

Since Angle PQR = Angle PRQ,

Hence both cancel out each other

Therefore, Angle PQS = Angle PRT

Hence PROVED

Answer 2

Hey! ✌

Given:

angle PQR = angle PRQ

To prove:

angle PQS= angle PRT

A/Q,

angle PQR+angle PQS = 180° (linear pair)

angle PQS = 180° - angle PQR ------(i)

Also,

angle PRQ + angle PRT = 180° (linear pair)

angle PRT = 180° - angle PRQ

angle PRQ = 180° - angle PQR------(ii)

from (i) & (ii)

angle PQS = angle PRT = 180° - angle PQR

Therefore, angle PQS = angle PRT

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