Question

The measure of the supplement of an angle exceeds twice the measure of the complement of the angle by 20. Find the measure of half of the complement

Answer 1

The supplement is when two angles add up to 180° and complement is when two angles add up to 90°

let:

x = the angle.

180 - x = its supplement.

90 - x = its complement

then x = 2(90-x) + 20 means the measure of the supplement of an angle exceeds twice the measure of the complement of the angle by 20