Angle 5 and 6 are supplements and angle 5 is 24 more than half the measure of angle 6. find the measure of each angle.

Supplementary angles equal 10 degrees.

Let angle 6 = X

Angle 5 is 24 more than half of angle 6, which can be written as 1/2X + 24

So now we have X + 1/2x + 24 = 180

Combine the like terms (X + 1/2X = 1.5X)

1.5x + 24 = 180

Subtract 24 from each side:

1.5x = 156

Divide both sides by 1.5:

x = 156 / 1.5

X = 104

Angle 6 = 104 degrees.

Angle 5 = 180 - 104 = 76 degrees