3 years ago

Find values of x and y??

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

9514 1404 393

Answer:

x = 80
y = 122

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

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

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