y=64 corresponding angles on parallel lines (F shape)
The one opposite y in the quadrilateral is 75 degrees because it is corresponding on parallel lines to the other 75.
x+75=180 because they are adjacent and supplementary
x=105 Adjacent because they share a common vertex and a common arm.
Adjacent is a normal English word, it means next to, so the property that is adjacent to yours is the one that shares the same fence line.
Supplemenary just means that they add to 180. (because they form a strght line)
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the one opposite the x in the quadrilateral is 111 because it is a corresponding angle to 111 on parallel lines.
The one in the triangle next to it is 180-111=69 because they are adjacent supplementary angles.
the other one in the triangle is 180-125 = 55 because it is an adjacent supplementary angle to 125
y is the 3rd angle in the triangle so 69+55+y=180 angle sum of a triangle
$${\mathtt{69}}{\mathtt{\,\small\textbf+\,}}{\mathtt{55}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}} = {\mathtt{180}} \Rightarrow {\mathtt{y}} = {\mathtt{56}}$$
Now consider the big triangle. you can get the top angle because it is adjacent supplementary to 111
and now you can get x from angle sum of a triangle.
See if you can do the other 2 on your own but if you can't post back and I will help.
I might just do posts with the pics incase you need help since I have already copied them. :)
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