Answer
$\angle$ABC = $\angle$BCD = 133$^{\circ}$
$\angle$ABE = $\angle$GCD = 47$^{\circ}$
Work Step by Step
$\angle$ABC and $\angle$BCD are congruent. This means that they have the same measure.
$\angle$ABC = $\angle$BCD = 133$^{\circ}$
$\angle$ABC and $\angle$GCD are congruent angles. Therefore, they have the same measure.
Since $\angle$EBC is a Straight Angle.
$\angle$ABC + $\angle$ABE = 180$^{\circ}$
180$^{\circ}$ - $\angle$ABC = $\angle$ABE
180$^{\circ}$ - 133$^{\circ}$ = $\angle$ABE
47$^{\circ}$ = $\angle$ABE
Therefore $\angle$ABE = $\angle$GCD = 47$^{\circ}$
