Question

the measure of angle jkl is 75°. the measure of angle jkm is 25°. the measure of angle mkl is x°. find the value of x.

Explanation:

Step1: Analyze angle relationship

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

Step2: Substitute known values

We know \( \angle JKL = 75^\circ \) and \( \angle JKM = 25^\circ \), so \( 75 = 25 + x \).

Step3: Solve for \( x \)

Subtract 25 from both sides: \( x=75 - 25=50 \).

Answer:

\( x = 50 \)