Question

What is the measure of angle f

Answer 1

48°

Explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where
`a=6x-4`,
`b =5x-7`,
`c=8x-18`.

Hence,

`6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=(209)/(19) \\x=11`

3) Find the angle of F by substituting 11 into x.

`=5(11)-7\\=55-7\\=48`

Therefore, angle F has a measure of 48°.