Question

In triangle PQR, right-angled at Q. A point. S is taken on the side PR such that PS=SR and QR=QS. Find the measure QRS.


Figure is in attachment​

Answer 1

Answer:

Step-by-step explanation:

I have used the property of angle in semi circle. Hope it helps.

Answer 2

The value of angle QRS. is 60°

Step-by-step explanation:

given : PS = SR ...1

construct a semi circle PQR

now , PR is the diameter and S is the mid point

therefore , S is the center of the circle

so , SQ=SR (radii )..2

QR = QS ...3

from 1 , 2, 3

QR = SR = QS

now , in triangle SQR

QR = SR = QS

all sides are equal , therefore , it is a equilateral triangle

therefore ,

$\angle QRS = 60^\circ$

hence ,The value of angle QRS. is 60°

#Learn more:

In triangle pqr right angled at q a point is taken on side PR such that PS is equal to S R and QR is equal to QS find the measuring of angle​

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