Find angle E if angle E and angle F are supplementary, angle E = 2x + 15 and angle F = 5x - 38

Angle E = 73 degrees

Step-by-step explanation:

Supplementary means it equals 180 degrees.

So to find x, you add the 2 equations.

2x + 15 + 5x - 38 = 180

which equals 7x + (-23) = 180 = 7x - 23 = 180

7x = 203 You move the - 23 to the other side

203/7 = 29 So x = 29 degrees

So to find angle E, you put in 29 degrees for x.

2 x 29 + 15 = 73 degrees