2014-09-28T13:01:19-04:00

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That is basically a square with a equilateral tri on it so y = 90+60 and x = 60
Justification -
two opposite sides are equal and parallel thus the left part is a parallelogram then the 3 congruent sides make it a square since the tri has a side length = to the side length of the square we know it is equilateral
Very nice !
2014-09-28T13:15:47-04:00

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Hello,

first we make the blue line (see the picture), and as you can see we form an equilateral triangle. We know that an equilateral triangle has equal sides and angles, then:

z=x

z+z+x=180º     (sum of internal angles of a triangle)
x+x+x=180º
3x=180º

Now, we can see that: y=90º+z   , so:

y=90º+x
y=90º+60º
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