Question

question
in the diagram below, \\(\overline{ab} \parallel \overline{cd}\\), \\(\overline{ef} \parallel \overline{gh}\\), and \\(m\angle ikd = 119^\circ\\). find \\(m\angle ajg\\).
you may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale.
answer attempt 1 out of 2
\\(m\angle ajg = \square^\circ\\)
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Explanation:

Step1: Find supplementary angle of $\angle IKD$

$\angle IKF = 180^\circ - 119^\circ = 61^\circ$

Step2: Use parallel lines congruent angles

Since $\overline{EF} \parallel \overline{GH}$, $\angle ALJ = \angle IKF = 61^\circ$

Step3: Use vertical angles congruence

Since $\angle AJG$ and $\angle ALJ$ are vertical angles, $\angle AJG = \angle ALJ = 61^\circ$

Answer:

$61$