The value of x in the given right triangle in a semicircle is determined as 21.
<h3>What is the measure of a triangle in a semicircle?</h3>
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.
Learn more about right angle here: brainly.com/question/64787
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