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

Given that GL is the diameter and K is an angle subtended by the diameter, we conclude that angle K is equal to 90. Therefore having the above information we can formulate the equation below;

4x+6=90

to find the value of x we solve the above equation;

4x+6=90

subtracting 6 from both sides we get:

4x+6-6=90-6

4x=84

dividing both sides by 4

(4x) / 4=84/4

x=21

there answer is x=21