Home » In the diagram, TS is a tangent to the circle at S. |PR| and o. Calculate

In the diagram, TS is a tangent to the circle at S. |PR| and o. Calculate

In the diagram, TS is a tangent to the circle at S. |PR| and o. Calculate

A.
54^o
B.
44^o
C.
34^o
D.
27^o

Correct Answer: Option A

Explanation

In the diagram above, x₁ = 180^o – 117^o = 63^o(opposite angles of a cyclic quad.)
x₁ = x₂ (base angles of isos. (Delta))
x₁ + x₂ + (alpha) = 180^o (sum of angles of a (Delta)
63^o + 63^o + (alpha) = 180^o
(alpha) = 180^o – (63 + 63)^o
= 54^o