In the diagram O is the center of the circle, ∠SOR = 64° and ∠PSO = 36°. Calculate ∠PQR

a
100o
b
96o
c
94o
d
86o
Explanation
Correct Option
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Discussions (10)

RubyE
9 years ago
First,get the base angles of the isosceles triangle in the quadrilateral. Thus, (180°-64°)/2 => 58°. Therefore,total angle @ PSR = 36°+58°=94°. Hence, PQR +PSR = 180°(sum of the opposite angles of a cyclic quadrilaterals are supplementary. Therefore,PQR = 180°-94° = 86°

Okessmyname
12 years ago
the correct answer is 86 not 94 cause oppose angles of quadrilateral are supplementry




