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

The value of x in the given right triangle in a semicircle is determined as 21.

What is the measure of a triangle in a semicircle?

The triangle in a semicircle is always a right angle triangle.

From the figure shown, we can say that the triangle  G J K is right triangle and m<K = 90degrees.

Given that m<K = 4x + 6, we will can use the following equation to find the value of x as shown:

4x + 6 = 90

4x = 90 - 6

4x = 84

x = 21

Thus, the value of x in the given right triangle in a semicircle is determined as 21.

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