Question

What is the value of x? Assume that the line is tangent to the circle

A) 115
B) 130
C) 285
D) 230

Answer 1

D

Explanation:

The angle formed by the tangent- chord is half the measure of its intercepted arc, thus

The tangent is a straight angle and the adjacent angle to 65 is

180° - 65° = 115° , thus

x = 115 × 2 = 230 → D