Question

E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help

Answer 1

m
`\angle`F = 34°

Explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m
`\angle`F add m
`\angle`E and m
`\angle` F and equate it to 90 to find x then substitute it into the expression for m
`\angle`F

Thats

m
`\angle`E + m
`\angle`F = 90

`\rarr` 9x - 38 + 2x + 40 = 90

`\rarr` 11x + 2 = 90

`\rarr` 11x = 90 - 2

`\rarr` 11x = 88

Divide both sides by 11

x = 8

Now we have

if m
`\angle`F = 9x - 38

m
`\angle` F = 9( 8) - 38

m
`\angle`F = 72 - 38

We have the final answer as

m
`\angle`F = 34°

Hope this helps you