The measure of the angles of a triangle is 35. The sum of the measures of the other two angles is 145 and the difference between their measures is 15. What are the measures of the unknown angles?

Let x and y represent the measure of the unknown angles

x+y=145

x-y = 15

2x=160 (Use the elimination. method)

2/2x=160/2

x=80

80° is the measure of one of the unknown angles

x+y=145

80+y=145

-80 - 80

y=65

The measure of the second unknown angle is 65°

Thus the measure of the unknown angles are 80° and 65°