Question

Find the value of y

a. 118
b. 65
c. 130
d. 32.5

Answer 1

Option (B).

Explanation:

Since "measure of an angle formed between the tangent and a chord measure the half of the intercepted arc."

Therefore, x = 2 × (65)°

x = 130°

Since, measure of the inscribed angle is half of the measure of the intercepted arc.

Therefore, x = 2y

y =
`(x)/(2)`

y =
`(130)/(2)`

y = 65°

Therefore, Option (B). 65° will be the correct option.