Question

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

Answer 1

Answer:

21-A on edu

Explanation:

Answer 2

The measure of x from the figure is 21

Circle geometry

The triangle in a semicircle is always a right angles triangle. From the figure shown, we can say that the triangle  G J K is right triangle. Therefore

m<K = 90degrees

Given that m<K = 4x + 6, we will equate both angles to find the value of x as shown:

4x + 6 = 90
4x = 90 - 6

4x = 84
x = 21

Hence the measure of x from the figure is 21

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