1. ## Quadrilateral segment length problem

In the attached image is the shape.
In the figure, segment BD is parallel to segment AE. If the length of segment CE is 3, what is the length of segment AC?
I am thinking that angle CDE is equal to CEA, but I'm not sure

2. ## Re: Quadrilateral segment length problem

How do you find the length of a line segment in a circle?

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how?

4. ## Re: Quadrilateral segment length problem

Hello, rasen58!

In the figure, segment BD is parallel to segment AE.
If the length of segment CE is 3, what is the length of segment AC?

I am thinking that angle CDE is equal to CEA, but I'm not sure. .No

I see that $\angle BCA$ and $\angle DCE$ are both labeled $x.$
Are they supposed to be equal?

5. ## Re: Quadrilateral segment length problem

Yes they are equal

6. ## Re: Quadrilateral segment length problem

Originally Posted by rasen58
Yes they are equal

In that case $\angle CEA \cong \angle CAE$.

7. ## Re: Quadrilateral segment length problem

Oh alternate interior thanks!