The reasons as well as the answer

Answer:
x = 46, y = 67
Step-by-step explanation:
x = ∠ AEC = 46 ( alternate angles )
Since Δ ACE is isosceles then the base angles are congruent, then
y = [tex]\frac{180-46}{2}[/tex] = [tex]\frac{134}{2}[/tex] = 67
Answer:
x=46° and y=67°
Step-by-step explanation:
triangle ACE is isosceles, meaning <A=<B=y
any triangle is add up to 180. <A+<B+<C=180
y+y+46=180
2y=180-46
2y=134
divide both sides by 2
y=134/2
y=67°
for angle x°
since AB is parallel to CD,hence
<AEC=<ECD
x=46°