Final answer:
Complementary angles have a sum of 90 degrees. By solving the equation involving the angles, we can find the measure of the bigger angle.
Step-by-step explanation:
Complementary angles are two angles whose measures sum up to 90 degrees.
Let's assume one angle is x degrees. According to the problem, the other angle is 28 more than x, which means it is x + 28 degrees.
Since the two angles are complementary, their measures add up to 90 degrees: x + (x + 28) = 90.
Simplifying the equation, we have: 2x + 28 = 90.
Subtracting 28 from both sides, we get: 2x = 62.
Dividing both sides by 2, we find: x = 31.
Therefore, the measure of the bigger angle (x + 28) is 31 + 28 = 59 degrees.
Learn more about Complementary angles