Answer:
29/4 or 7.25
Explanation:
Complimentary angles are two angles that add up to 90
Supplementary angles are two angles that add up to 180
Angle ABC = x
Angle CBD = 7y + 4
Angle DBE = 8y + x
If we can find the measure of angle CBD, then we can find x.
We know that CBD + DBE = 180 because they are supplementary. Therefore...
(7y + 4) + (8y + x) = 180
AND
(7y + 4) + (x) = 90
Now we can use algebra to solve for x and y...
Blah blah blah...
x = 29/4
y = 45/4