In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QPR = \(\theta\)o and RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct
Attached Figure / Diagram
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
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
180 - \(\phi\)o = \(\theta\)o + \(\phi\)o (Sum of opposite interior angle equal to its exterior angle)
180 = 2\(\phi\) + \(\theta\)o
Source: Myschool Past Questions Archive (Record #32818)