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°