Question

angle jkl is a straight angle. the measure of angle jkm is 130°. the measure of angle mkl is x°. what is the value of x?

Explanation:

Step1: Recall the property of a straight - angle

A straight - angle measures \(180^{\circ}\). So, \(\angle JKM+\angle MKL = 180^{\circ}\).

Step2: Substitute the known values into the equation

We know that \(\angle JKM = 130^{\circ}\) and \(\angle MKL=x^{\circ}\). Then the equation becomes \(130 + x=180\).

Step3: Solve for \(x\)

Subtract \(130\) from both sides of the equation: \(x=180 - 130\).

Answer:

\(x = 50\)