the sum of the measures of angles X and Y is 180 degrees. The measure of angle X is 24 degrees greater than the measure of angle Y

Question

a) define the variables, and write equations for this situation.

 

b) find the measure of each angle.

Answer 1

Let y = the smaller angle

Let x = the larger angle

x = y + 24

y + y + 24 = 180

2y = 156

y = 78º

x = 78 + 24 = 102º