Question

the measure of angle jkl is 150°. the measure of angle mkl is 85°. the measure of angle jkm is x°. find the value of x. x =

Explanation:

Step1: Analyze the relationship between angles

We know that \(\angle JKL=\angle JKM + \angle MKL\) (angle - addition - postulate).

Step2: Substitute the given values

Given \(\angle JKL = 150^{\circ}\) and \(\angle MKL=85^{\circ}\), substituting into the equation \(150=x + 85\).

Step3: Solve for \(x\)

Subtract \(85\) from both sides of the equation: \(x=150 - 85\).

Answer:

\(x = 65\)