Question

In circle K, what is the value of x?

x = 30°

x = 25°

x = 20°

x = 15º

Answer 1

x=15 degrees if we assume that the blank angle is a 90 degree angle...

Hope this helps :D

Answer 2

The correct option is 4.

Explanation:

Given information: K is the center of the circle. AB is the diameter of the circle.

Angle subtended by a diameter is always a right angle. It the means the measure of that angel is 90 degree.

`\angle C=90^(\circ)`

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

Using angle sum property in triangle ABC, we get

`\angle A+\angle B+\angle C=180^(\circ)`

`75^(\circ)+x+90^(\circ)=180^(\circ)`

`x=15^(\circ)`

Therefore the measure of x is 15 degree. Option 4 is correct.