Question

X =

a) 90
b) 135
c) 270

Answer 1

c.) 270

Explanation:

Answer 2

The correct option is c.

Explanation:

According to the Angle Formed Outside of Circle by Intersection property,

`\text{Angle Formed by Two Tangents}=(1)/(2)(\text{Differecen of Intercepted Arcs})`

It is given that the major intercepted arc is x. So, the minor intercepted arc is 360-x.

`\text{Angle Formed by Two Tangents}=(1)/(2)(x-(360-x))`

`90=(1)/(2)(2x-360)`

`90=x-180`

`90+180=x`

`270=x`

The value of x is 270 degrees, therefore the correct option is c.