Answer
One angle is 14° and the other is 76°.
Work Step by Step
Let X represent the smallest angle. Since the difference between the angles is 62, then the other is 62 + X.
Since the angles are complementary, their sum is 90°. So, we can set up the following equation:
X + 62 + X = 90
2X + 62 = 90
Subtract 62 from both sides
2X = 28
Divide both sides by 2:
X = 14
The smallest angle is 14, while the other is 62 + 14 = 76.
