Question

in the diagram below, \\(\overline{ab} \parallel \overline{cd}\\), \\(\overline{ef} \parallel \overline{gh}\\), and \\(m\angle ikd = 124^\circ\\). find \\(m\angle ajg\\).
step angle reason
1 \\(m\angle ikd = 124^\circ\\) given
\\(m\angle ajg = 124^\circ\\) alternate interior angles

Explanation:

Step1: Identify given angle

$\angle IKD = 124^\circ$ (given)

Step2: Use parallel lines property

$\overline{AB} \parallel \overline{CD}$ and $\overline{EF} \parallel \overline{GH}$. $\angle AJG$ and $\angle IKD$ are alternate interior angles, so they are equal.

Answer:

124