Question

X = a) 90 b) 135 c) 270

Answer 1

Answer:

The correct option is c.

Step-by-step explanation:

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

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

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

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

$90=\frac{1}{2}(2x-360)$

$90=x-180$

$90+180=x$

$270=x$

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

Answer 2

Answer:

c.) 270

Step-by-step explanation: