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tatyana61 [14]
3 years ago
6

The reasons as well as the answer

Mathematics
2 answers:
Misha Larkins [42]3 years ago
5 0

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°

Radda [10]3 years ago
4 0

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 = \frac{180-46}{2} = \frac{134}{2} = 67

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