Question

the measure of angle jkl is 150°. the measure of angle jkm is 110°. the measure of angle mkl is x°. find the value of x.

Explanation:

Step1: Identify angle relationship

Angle \( JKL \) is the sum of \( \angle JKM \) and \( \angle MKL \), so \( \angle JKL = \angle JKM + \angle MKL \).

Step2: Substitute known values

We know \( \angle JKL = 150^\circ \) and \( \angle JKM = 110^\circ \), so substitute into the equation: \( 150 = 110 + x \).

Step3: Solve for \( x \)

Subtract 110 from both sides: \( x = 150 - 110 \).
\( x = 40 \).

Answer:

\( x = 40 \)