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Find the value of x and y and please show all work.

Find the value of x and y and please show all work.-example-1

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Answer:

Explanation:

The slashes on each segment show that all of the segments are congruent which means their measures are equal. One of the sides is marked 4x another one is marked 40 so:

4x = 40

x =10

In addition, you should see 3 triangles. All of the triangles in the diagram have the three sides marked congruent. This means that all of the triangles are equilateral. If a triangle is equilateral, that means it is also equiangular. Since all angles are equal and the sum of the three angles of any triangle is 180:

3y = 180

y =60

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