Question

If PO=PR in the given figure, then find ZOPR
(a) 40°
(b) 30°
(c) 20°
(d)50°
​

Answer 1

if <PRS = 100 deg.

then , <PRQ = 180 - 100 = 80 deg.

as we know that PQ = PR

then triangle PQR IS ISOSCELES

Then , <PQR = <PRQ = 80 deg.

we know that,

 sum of angles in a triangle is equal to 180

so , <QPR + <PRQ + <PQR = 180

    <QPR + 80 + 80 = 180

     <QPR = 20 DEG.

Answer 2

answer : (c)20

as po=PR

then angle PQR=PRQ

ANGLE PRQ = 180 -100 (EXTERIOR ANGLE OF TRIANGLE)

ANGLE PRQ = 80

PRQ = PQR = 80

THEN

PRQ + PQR + QPR = 180 ( MEASURE OF TRIANGLE)

80+80+X= 180

160 + X = 180

X = 20