Question

What is the difference between a pair of supplementary angles and a pair of complimentary angles?

Answer 1

Supplementary angles are two angles whose sum is equal to ${180}^o$. The measure of one angle in the pair with the other angle in the pair, are equal to ${180}^o$

These two angles are supplementary because together they form a straight line. They are supplementary because when you add, their angles measured is the sum equal to ${180}^o$

$120+60={180}^o$

Complimentary angles are a pair of angle whose sum is ${90}^o$

If you add up the two angles measure, the sum is equal to ${90}^o$.

$\therefore$ Two angles are complimentary.