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

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Explanation

Correct Option
d

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Discussions (10)

maphtee
10 years ago

86 is d correct ans 180-94 = 86

AIIGA ALFRED
9 years ago

who can explain it step by step?

AIIGA ALFRED
9 years ago

maptee where do u get that 94

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°

Myschool Kelly
9 years ago

Correction has been made. Thanks for your contributions.

AIIGA ALFRED
9 years ago

it is well understand

stevenpat
11 years ago

Its 86 not 94 as you said

Okessmyname
12 years ago

the correct answer is 86 not 94 cause oppose angles of quadrilateral are supplementry

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