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

75+90=165

180-165=15

15 is correct

Explanation:

Answer 2

x = 15°

Explanation:

The segment is a diameter, So let us assume the part in which there lies the triangle as a semicircle.

=> A triangle inscribed in a semi-circle will always have one of its angle equal to 90

=> So the angle (not 75 and x) is 90 degrees.

=> To find the value of x, we'll subtract rest of the angles from 180 degrees (because the interior angles of a triangle add up to 180°)

So,

=> x = 180-90-75

=> x = 15°