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3 years ago

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

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

<h2>m $\angle$ F = 34°</h2>

Step-by-step 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

<h3>m $\angle$ F = 34°</h3>

Hope this helps you

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