Question

find the value of x in figure given below

Answer 1

Given - angle r = 50
T.F = x
now, in triangle pqr
OP =OR ( radius)
therefore,
angle r = angle p. (angle p =x, angle r =50)
x = 50

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Answer 2

Since triangle PQR is in a semicircle
therefore, ang.PQR=90
(ang. in the semicircle)
in tri PQR
ANG. PQR + PRQ +x = 180
90+50 + x =180
140+x=180
x=180 - 140
x=40


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