Question

pls answer it correctly​

Answer 1

Answer:

We have a quadrilateral PQRS, where bisectors of angle R and angle s meet at a point T.

Angle P + Angle Q + Angle R + Angle s = 360 degree ( A Full angle is 360 degree)

Angle p + Angle Q = 360 degree - ( angle R + angle S)

In triangle Rts,

Angle RTS+ Angle TSR+ Angle SRT =180 degree

Given,

Angle tsr = Angle s by 2

Angle Srt = angle r by 2

After substituting this in equation 2

We get,

Angle RTS + Angle TSR+ angle SRT = 180 degrees

2 angle RTS+ angle s+ angle R =360 degree

2 angle RTS=360 degrees - (Angle R + Angle s)

From equation number 1

2 Angle RTS = Angle P + Angle Q

Hope it helps you

Explanation:

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Answer 2

★ Given :-

PQRS is a quadrilateral.

The bisectors of ∠R and ∠S meet at point T

★ To Prove :-

∠P + ∠Q = 2 ∠RTS

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