Question

Line segment GJ is a diameter of circle L.Angle K measures (4x+6)°

what is the value of x?
21
24
32
44​

Answer 1

A. 21

Explanation:

Recall: inscribed angle in a semicircle equals 90°

m<K is an inscribed angle in a semicircle = (4x + 6)°

Therefore,

4x + 6 = 90°

Solve for x. Subtract both sides by 6

4x + 6 - 6 = 90 - 6

4x = 84

Divide both sides by 4

4x/4 = 84/4

x = 21