Question

in the figure below, m∠jkl = 134° and m∠1 = 58°. find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that \(m\angle{JKL}=m\angle{1} + m\angle{2}\) (by the angle - addition postulate).

Step2: Solve for \(m\angle{2}\)

Rearrange the equation to \(m\angle{2}=m\angle{JKL}-m\angle{1}\). Substitute \(m\angle{JKL} = 134^{\circ}\) and \(m\angle{1}=58^{\circ}\) into the equation. So \(m\angle{2}=134 - 58\).

Answer:

\(76^{\circ}\)