Two angles are complementary. the measure of one angle is 15 more than twice the other. what is the measure of the smaller angle?

1) 25

2) 35

3) 55

4) 65

Ok, complementary angles are angles that add up to 90 degrees, like the other two angles in a right triangle. That's all they are, nothing magical about them.

In this case, let the small angle be x degrees.

The other angle is 15 more than 2x degrees, that is, it is 2x + 15 degrees.

Together they add up to 90 degrees

so x + (2x + 15) = 90

so 3x + 15 = 90

so 3x = 90-15 = 75

so x = 25. Remember that x is the smallest angle

so the largest angle is 90-x = 65.

hope this makes sense