One of the measures of the angles of a triangle is 25°. If the sum of the measures of the other two angles is 155° and the difference between their measures is 5°, what are the measures of the unknown angles?
Let x be the measure of one of the other two angles, and y be the measure of the other angle.
We know that x + y = 155 and x - y = 5.
Adding these two equations, we get:
2x = 160
Dividing both sides by 2, we get:
x = 80
Substituting this value back into x + y = 155, we get:
80 + y = 155
Subtracting 80 from both sides, we get:
y = 75
Therefore, the measures of the other two angles are 80° and 75°.