Question

1. in the diagram shown, the measure of ∠mkj is 64° and the measure of ∠mkl is 21°. which of the following is the measure of ∠jkl? (1) 21° (2) 32° (3) 43° (4) 85°

Explanation:

Step1: Identify angle - relationship

We know that \(\angle MKJ=\angle MKL + \angle JKL\).

Step2: Solve for \(\angle JKL\)

\(\angle JKL=\angle MKJ-\angle MKL\). Given \(\angle MKJ = 64^{\circ}\) and \(\angle MKL=21^{\circ}\), then \(\angle JKL = 64^{\circ}- 21^{\circ}=43^{\circ}\).

Answer:

(3) \(43^{\circ}\)