The measures of one 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

The measures of the angles are 65° and 80°

Step-by-step explanation:

One of the angles is 35°

We know that the other two angles have a difference of 15°

With this knowledge we can write an equation.

2x symbolizes the two angles

+15 symbolizes the difference between the two angles

145 = 2x + 15

145 - 15 = 130

2x = 130

x = 65

65 is the size of one of the angles.

Next, we add 15 to 65 and we get 80

80 is our second angle