Question

In circle K, what is the value of x? x = 30° x = 25° x = 20° x = 15º A triangle inscribed in a circle having one side as diameter, center labeled as K and two angles labeled X degrees and seventy-five degrees. The angle with x degrees is on the right side of the diameter. The 75 degree angle is on the left side of the diameter.

Answer 1

The correct option is 4.

Hope this helps :D

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.

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