Answer :
The value of x will be 48.19°. Then the measure of angle LJK will be 41.81°.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Triangle LJK is shown.
Angle ∠JLK is a right angle.
The length of the hypotenuse is 15 inches, and the length of the side adjacent to the right angle is 10 inches.
The angle between the 2 sides is x.
Then the measure of the angle x will be given by cosine of x.
cos x = 10 / 15
cos x = 0.667
x = 48.19°
The value of x will be 48.19°.
We know that the sum of the angle of triangle is 180°.
Then the measure of angle LJK will be
∠LJK + 90° + 48.19° = 180°
∠LJK = 41.81°
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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