Answer
The two other angles are 65 and 75.
Work Step by Step
The difference between their measures is 10 means that one is 10 bigger than the other. Let X represent the smaller angle; the bigger angle is X + 10.
The third angle has a measure of 40.
The sum of the angles in a triangle is 180, so we obtain:
X + X + 10 + 40 = 180
2X + 50 = 180
Subtract 50 from both sides
2X = 130
Divide both sides by 2
X = 65
Since X = 65, X + 10 = 75
The two other angles are 65 and 75.
