Question

Pls Answer really fast I need it for my work!!!!!!​

Answer 1

`\sf m\angle F = 74^\circ`

Explanation:

Supplementary angles are two or more angles that add up to 180 degrees. They can be any two angles, regardless of where they are located in a plane. Supplementary angles always form a straight angle when they are put together.

In this case:

`\sf m\angle E \textsf{ and } m\angle F \textsf{ are supplementary}`

So, we can say that:

`\sf m\angle E + m\angle F = 180^\circ`

Substituting given value:

`\sf 9x - 38 + 2x + 42 = 180`

Simplify like terms:

`\sf 11x + 4 = 180`

Subtract 4 on both sides:

`\sf 11x + 4 - 4= 180 - 4`

`\sf 11x = 176`

Divide both sides by 11, we get

`\sf (11x )/(11)= (176)/(11)`

`\sf x = 16`

Now, we can find m angle F by substituting value of x, we get:

`\sf m\angle F = 2\cdot 16 +42 = 74^\circ`

Therefore,

`\sf m\angle F = 74^\circ`

Answer 2

Angle F = 74

Explanation:

Supplementary angles add to 180 degrees.

9x-38 + 2x+42 = 180

Combine like terms.

11x+4 = 180

Subtract 4 from each side.

11x+4-4 = 180-4

11x=176

Divide each side by 11.

11x/11 =176/11

x=16

Angle F = 2x+24

= 2*16+42

=32+42

=74