Question

help basic polygon !!!! in the diagram, ABCD is a straight line. calculate the value of X and Y.

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Answer 1

Answer:

Okay! So for this we need to realize a few things!

First the triangle CDE is an Isosceles triangle, thus two of the side angles (the non $x$) are the same value! That means that angle:

$<ECD = <CED = 36$°

Which means that:

$x = (180-2*36)=108$°

Now that we know what angle ECD is, we know that angle BCE is equal to:$180-<ECD = 180-36=144$°

Lastly we know that angle $<ABF = <BCE$ are similar due to parallel lines, thus:

$<ABF = <BCE = 144$°.

Therefore:

$x=108$°

$y=144$°