Question

Solve for x
O 10°
O 189
O 20°
O 22.5°

Answer 1

`\boxed{x=10}`

Explanation:

We are given two angles, which together, have a sum of 90°. We call these complementary angles. The angle ∠EAF is the complement of angle ∠FAB and vice versa.

Therefore, because they sum up to be 90°, we can simply add the angles together and solve for x this way.

`4x+5x=90\\\\9x = 90\\\\(9x)/(9) = (90)/(9)\\\\\boxed{x = 10}`

The variable x equals 10. We can go even further to check and verify that this is correct by substituting our original value for x into the equation.

`4(10)+5(10)=90\\\\40 + 50 = 90\\\\90 = 90`

90 does in fact equal 90, so your final answer is x = 10°.

Hope this helps! :)