Question

Sides QP and RQ of triangle PQR are produced to point S and T respectively. If ∠SPR=125° and ∠PQT=110° , find ∠SQR and ∠PRQ

Answer 1

Answer:

∠SQR  = 55°  and ∠PRQ = 70°

Step-by-step explanation:

FIGURE ATTACHED

PLEASE View It.

There is a mistake in Your Question, It must be as follows:

Sides QP and RQ of triangle PQR are produced to point S and T respectively. If ∠SPR=125° and ∠PRT=110° , find ∠SQR and ∠PRQ

From the Figure,

∠SPQ = 180° (Linear Pair )

⇒∠SPR + ∠QPR = 180°

⇒125° + ∠QPR = 180°

⇒ ∠QPR = 180°- 125°

⇒ ∠QPR =55°

NOW,∠TRQ = 180°  (Linear Pair)

⇒∠PRT  + ∠PRQ = 180°

⇒ 110°+ ∠PRQ = 180°

⇒ ∠PRQ = 180°-  110°

⇒ ∠PRQ = 70°

IN Δ PQR ,

∠PQR + ∠PRQ + ∠QPR = 180° (Angle Sum Property)

⇒∠PQR + 70° + 55° = 180°

⇒∠PQR + 125° = 180°

⇒∠PQR + 125° = 180°

⇒∠PQR  = 180°- 125°

⇒∠PQR  = 55°

∴∠SQR  = 55°

Thank U : )

Answer 2

Answer:

: )

Step-by-step explanation:

PLease Mark the other answer as the Brainliest .

Only for that I am answering.

She had explained it in a very excellent way.

Hope you will accept my request.

PLease do it Friend

Thanks