Answer:
x = 110 degrees, y = 49 degrees.
Explanation:
We have adjacent isosceles triangles here, so
x = 180 - 2(35) = 110 degrees, and
2y + 82 = 180
so y = (180 - 82) / 2 = 49 degrees.
If AB = AD, then you have that triangle ABD is an isosceles triangle (it has two equal sides). If it is isosceles, then the angles opposite to angles those equal sides must be equal. Then angle ADB = . and by the property of all internal angles of a triangle have to add to , we get that:
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