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
