Question

line segment gj is a diameter of circle l. angle k measures (4x + 6)°. what is the value of x? 21 44 24 32

Explanation:

Step1: Apply Thales' theorem

Since GJ is a diameter, ∠GKJ = 90° (angle subtended by diameter is right angle).

Step2: Set up equation

Given ∠K = (4a + 6)°, so 4a + 6 = 90.

Step3: Solve for a

Subtract 6: 4a = 84. Divide by 4: a = 21.

Answer:

21