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angle POR=160 __ AS , it is a central angle , and
PQR =100 °
therefore, by using inscribed angle theorem,
m(arcPR) =2 m(anglePQR )
Then m(angle POR)= 360 -200 =160
BUT, POR forms a triangle , then
angles( OPR +POR +ORP) = 180° _ sum of all angles of a triangle is 180 __(1)
as PO=OR , radii of same circle,
angle OPR = angle ORP =x ( consideration). __(2)
therefore,
angle POR +x +x =180 ___from (1),(2),
POR =160
therefore , 160 +2x =180
2x =180 -160 = 20
therefore,
2x =20
x =10 ....
, angle OPR=ORP =10°
HOPE IT HELPS, PLS MARK AS BRAINLIEST
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