**Two angles are complementary and the measure of one angle is 24 degrees more than the measure of the other. How many degrees are there in the larger angle? ________________**

**Answer:**

Let one angle be x°.

So the other angle is x + 24°.

Now

x + x + 24 = 90

2x + 24 = 90

Subtracting 24 from both sides

2x + 24 - 24 = 90 - 24

2x = 66

Dividing by 2 on both sides

x = 33

hence one angle is 33°

The other angle is 33 + 24 = 57°

The larger angle has 57°. Answer