Question

In the fig, suppose ∠P and ∠Q are supplementary angles and ∠R = 125°. Find the measures of ∠S.

Answer 1

Hey here is ur answer
In a quadrilateral sum of angels =360
so <P+<Q=180(supplementary)
There fore <P+<Q+<R+<S=360
180+125+<S=360
305+<S=360
<S=360-305
<S=55
There fore angel of S is equal to 55..
I hope this answer is useful for you

Answer 2

THANKS FOR THE QUESTION !

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GIVEN :

=> FROM THE FIGURE :

=> \_ R = 125°

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=> \_ P & \_ Q ARE SUPPLEMENTARY :

=> MEANS ,

=> \_ P + \_ Q = 180°

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THE GIVEN FIGURE IS A TETRASIDED FIGURE

=> MEANS A QUADRILATERAL :

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=> SUM OF MEASURES OF ALL ANGLES OF A QUADRILATERAL IS 360°

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\_ P + \_ Q + \_ R + \_ S = 360°

=> 180° + 125° + \_ S = 360°

=> 305° + \_ S = 360°

=> \_ S = 360° - 305°

=> \_ S = 55°

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HOPE IT WILL HELP U ......

THANKS AGAIN........

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