Question

In circle I, m/KJL = 70°. Solve for x if mKL = (2x - 20). If necessary, round you

answer to the nearest tenth.

Answer 1

To solve for x when the measure of arc KL is (2x - 20) and m/KJL = 70°, set the two expressions equal and solve the equation. The resulting value of x is 45.

Step-by-step explanation:

The problem provided is to find the value of x when it is known that in circle I, the measure of angle KJL is 70° and the measure of arc KL is given by the expression (2x - 20) degrees.

The measure of an arc in a circle is equal to the measure of its corresponding central angle. Therefore, we can set the expression for the measure of arc KL equal to the measure of angle KJL, which is 70°.

70° = (2x - 20)

By solving this equation for x, we find the value of x.

Add 20 to both sides of the equation:

70 + 20 = 2x

90 = 2x

Then, divide by 2:

45 = x

Thus, the value of x is 45.