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In the figure, PQ is the tangent from P to the circle QRS with SR…

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

A.
(theta)^o + (phi)^o = 90²
B.
(phi)^o = 90² – 2(theta)^o
C.
(theta)^o = (phi)^o
D.
(phi)^o = 2(theta)^o
E.
(theta)^o + 2(phi)^o

Correct Answer: Option E

Explanation

180 – (phi)^o = (theta)^o + (phi)^o (Sum of opposite interior angle equal to its exterior angle)
180 = 2(phi) + (theta)^o