angle E and angle F are supplementary the measure of angle E is 54 more than the measure of angle F find the measures of each angle

The measure of angle F is 63° and the measure of angle E is 117°

Step-by-step explanation:

Given that E and F are supplementary angles which means that the sum of the angles is 180°.

Let the measure of angle F=x

given that the measure of angle E is 54 more than F

E=54+x

F+E=180°

x+54+x=180°

2x+54=180°

2x=180-54

=126°

x=126/2=63°

F=63°

E=F+54=63+54=117°