Find the measure of the angle indicated

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°