Find angle E if angle E and angle F are supplementary, angle E = 2x + 5 and angle F = 5x - 38

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