Question

In PQR, side QR is produced to T such that the exterior angle PRT is 135° and angle PSQ=85° . Fine the value of X and y.​

Answer 1

Answer:

<PSR + <PSQ = 180° _____ Linear pair

<PSR = 180 - 85

<PSR = x = 95°

<PRT + <PRS = 180°_____ linear pair

<PRS = 180-135

<PRS = 45°

<x + <PRS + <y = 180° ___Angle sum property of ∆

95° + 45° + <y = 180°

140° +<y = 180°

<y = 180° - 140° = 40°

So, x = 95°

& y = 40°