Math, asked by shirinoza, 1 month ago

In the given figure, if PQ || RS, then find the value of x. Q P 72° T 4x + 20° 48° S R​

Answers

Answered by ummetaskeen
0

Answer:

hope this helps you

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Answered by abhiady2009
0

Step-by-step explanation:

In triangle QSR we have

angle QRT = angle RSQ+ angle SQR ...(Exterior angle of

triangle is equal t sum of interior opposite angles)

Rightarrow65^ = angle RSQ + 28 deg

Rightarrow angle RSQ = 65 deg - 28 deg

Rightarrow angle RSQ = 37 deg

We have y + RSQ = 90° ....(Given)

3y + 37 deg = 90 deg

Rightarrow y = 90 deg - 37 deg = 53 deg

In triangle PQS we have

x deg + y deg + angle P=180^ ....(Angle sum property)

/ x + 53 deg + 90 deg = 180 deg

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