Hindi, asked by mehakshaikh1101, 1 month ago

in the figure given below, angle SQR=28°, angle QRT=65° if PQ PS, PQ ST, then find the value of x and y​

Answers

Answered by pranavsharma8454
0

Answer:

x = 180° - 143° = 37°

Explanation:

In △QSR, we have

∠QRT=∠RSQ+∠SQR ....(Exterior angle of triangle is equal t sum of interior opposite angles)

⇒65

=∠RSQ+28

⇒∠RSQ=65

−28

⇒∠RSQ=37

We have y

+∠RSQ=90

....(Given)

⇒y+37

=90

⇒y=90

−37

=53

In △PQS, we have

x

+y

+∠P=180

....(Angle sum property)

⇒x+53

+90

=180

⇒x=180

−143

=37

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