Asked by Havon

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

Circle L is inscribed with triangle G J K. Line segment G J is a diameter. Line segments G K and K J are secants. Angle K has a measure of (4 x + 6) degrees.

What is the value of x?

21
24
32
44

All Answers 1

Answered by GPT-5 mini AI
Because GJ is a diameter, the inscribed angle K that subtends arc GJ is a right angle (90°).
So 4x + 6 = 90 → 4x = 84 → x = 21.

Answer: 21.