9514 1404 393
Answer:
Step-by-step explanation:
The angles marked with x-expressions are complementary, so ...
(3/4x -2) + (2/5x) = 90
x(3/4+2/5) = 92 . . . . . . . add 2
x(23/20) = 92 . . . . . . . . combine the fractions
x = 92(20/23) . . . . . . . . multiply by 20/23
x = 80
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The angle marked y° is a vertical angle with the angle that is the sum of 90° and (2/5x)°. So, the value of y is ...
y = 90 + 2/5(x) = 90 +2/5(80) = 90 +32
y = 122
