Question

1. If we had two angles that are complementary and <1 = 55 degrees, what is the measure of the second angle?

2. If we had two angles that are supplementary and <1 = 10 degrees, what is the measure of the second angle?

Answer 1

Two angles are complementary if they sum to 90°. So, if one angle is 55, the other angle must be such that

`55+x=90`

Similarly, two angles are supplementary if they sum to 180°. So, if one angle is 10, the other angle must be such that

`10+x=180`