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