Answer:
16
90
70
20
Step-by-step explanation:
We are given the equation of the sum of the measures of the angles equaling 180. We solve the equation for x.
5x + 10 + 4x + 6 + x + 4 = 180
Combine like terms:
5x, 4x, and x are like terms, and have a sum of 10x. (remember that x is the same as 1x).
10, 6, and 4 are like terms, and have a sum of 20.
10x + 20 = 180
Subtract 20 from both sides.
10x = 160
Divide both sides by 10.
x = 16
Now that we know that x = 16, we substitute x with 16 in each expression of the measure of an angle and evaluate the expression to find the measure of each angle.
Angle A:
5x + 10 = 5(16) + 10 = 80 + 10 = 90
Angle B:
4x + 6 = 4(16) + 6 = 70
Angle C:
x + 4 = 16 + 4 = 20
