Question

The reasons as well as the answer

Answer 1

x = 46, y = 67

Explanation:

x = ∠ AEC = 46 ( alternate angles )

Since Δ ACE is isosceles then the base angles are congruent, then

y =
`(180-46)/(2)` =
`(134)/(2)` = 67

Answer 2

x=46° and y=67°

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°