Question

in the diagram below, $ad \cong ae$, $ba \parallel ce$, $cb \parallel da$ and $m\angle bcd = 62^\circ$. find $m\angle e$.

step angle reason
1 $m\angle bcd = 62^\circ$ given
m$\angle\square=\square^\circ$ select a reason

Explanation:

Step1: Identify congruent angle

Since $CB \parallel DA$, $\angle BCD$ and $\angle ADE$ are corresponding angles, so $m\angle ADE = m\angle BCD = 62^\circ$.

Step2: Use isosceles triangle property

$\triangle ADE$ is isosceles ($AD \cong AE$), so base angles $\angle E$ and $\angle ADE$ are equal.

Answer:

$m\angle E = 62^\circ$