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In the figure, PQ is the tangent from P to the circle QRS wi...
In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = \(\theta\)oand RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = θoand RQP = ϕo, which of the following relationships between θo and ϕo is correct

A.

θo + ϕo = 902

B.

ϕo = 902 - 2θo

C.

θo = ϕo

D.

ϕo = 2θo

E.

θo + 2ϕo

Correct answer is E

180 - ϕo = θo + ϕo (Sum of opposite interior angle equal to its exterior angle)

180 = 2ϕ + θo