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 = \(\theta\)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 is E

180 - \(\phi\)o = \(\theta\)o + \(\phi\)o (Sum of opposite interior angle equal to its exterior angle)

180 = 2\(\phi\) + \(\theta\)o