Answer: y = 39 degrees, x = 13 degrees
Explanation:
Since angle (3x+45) and angle (7x-7) is congruent, set both angle's equal to each other to find x.
3x + 45 = 7x - 7
3x + 52 = 7x
52 = 4x
x = 13
In order to find y, you must add all the angles within the small triangle and set it equal to 180 degrees since a triangle has only `180 degrees
63 + 3x + 45 + y - 6 = 180
Now plug in x.
63 + 3(13) + 45 + y - 6 = 180
63 + 39 + 45 + y - 6 = 180
141 + y = 180
y = 39 degrees