Answer:
48°
Step-by-step 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 [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].
Hence,
[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]
3) Find the angle of F by substituting 11 into x.
[tex]=5(11)-7\\=55-7\\=48[/tex]
Therefore, angle F has a measure of 48°.
