Question

in the given figure sides QP AND RQ of angle PQR are produced to points S and T respectively. if angle SPR is equals to 135 degree and Angle PQT =110 find angle PRQ in the given figure sides q p and r q of angle pqr are product 2.8 and 3 respectively full stop if angle SPR equals to 135 degree and Angle pqt equals to 110 degree find angle trq

Answer 1

For the fig. please refer to the attachment

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Given : ∠SPR = 135° And, ∠PQT = 110°

To find : ∠ PRQ

Proof : According to the question,

∠SPR + ∠QPR = 180° (SQ is a straight line)

135° + ∠QPR = 180°

∠QPR = 45°

And,

∠PQT + ∠PQR = 180° (TR is a straight line)

110° + ∠PQR = 180°

∠PQR = 70°

Now,

∠PQR + ∠QPR + ∠PRQ = 180° (Sum of the int angles of the ∆)

70° + 45° + ∠PRQ = 180°

115°+ ∠PRQ = 180°

∠PRQ = 65°