Two angles are complementary and the measure of one angle is 24 degrees more than the measure of the other

measure-one-angle

#1

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