Question

angle jkl is a right angle. the measure of angle jkm is 35°. the measure of angle mkl is x°. what is the value of x?

Explanation:

Step1: Use the property of right - angle

Since \(\angle JKL = 90^{\circ}\), and \(\angle JKL=\angle JKM+\angle MKL\).

Step2: Substitute the known values

We know that \(\angle JKM = 35^{\circ}\), let \(\angle MKL=x^{\circ}\). Then \(90^{\circ}=35^{\circ}+x^{\circ}\).

Step3: Solve for \(x\)

By subtraction, \(x = 90 - 35\). So \(x = 55\).

Answer:

55