Question

1. make sense and persevere suppose m is a point in the interior of ∠jkl. if m∠mkl = 42 and m∠jkl = 84, what is m∠jkm? © mp.1

Explanation:

Step1: Recall angle addition postulate

The angle addition postulate states that if a point \( M \) is in the interior of \( \angle JKL \), then \( m\angle JKL = m\angle JKM + m\angle MKL \).

Step2: Substitute known values

We know \( m\angle JKL = 84^\circ \) and \( m\angle MKL = 42^\circ \). Substituting these into the equation \( m\angle JKL = m\angle JKM + m\angle MKL \), we get \( 84 = m\angle JKM + 42 \).

Step3: Solve for \( m\angle JKM \)

Subtract \( 42 \) from both sides of the equation: \( m\angle JKM = 84 - 42 \).
\( m\angle JKM = 42 \)

Answer:

\( 42^\circ \)