Answer:
About 65.86 degrees
Step-by-step explanation:
A supplementary angle means that the angles add to 180 degrees.
Angle E + Angle F = 180 degrees.
You can then plug in the given equations for E and F.
2x + 5 + 5x - 38 = 180
Combine like terms:
2x + 5x = 7x
5 - 38 = -33
New equation: 7x-33=180
Remove the -33 from the left side of the equation by adding 33 to each side
7x-33+33 = 180+33 ---> 7x = 213
Divide by 7 on each side
7x/7 = 213/7 ---> x = about 30.43
You can then plug this into your equation for E and solve
2(30.43) + 5 = 65.86 Degrees
