Answer:
76°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
52° + 12x + 4 = 22x - 4
52 = 22x - 4 - 12x - 4
52 = 10x - 8 add 8 to both sides
60 = 10x divide both sides by 10
6 = x
The measure of angle F is 12x + 4, replace x with the value we found
m<F 12 × 6 + 4 = 76°
