An angle measures 178° less than the measure of its supplementary angle. What is the measure of each angle?
Supplementary angles are pairs of angles whose measures sum to 180 degrees.
Let the angle ==A
Its supplementary angle ==180 - A
A - [180 - A] ==178
A - 180 + A ==178
2A ==178 + 180==358
A ==358 / 2 ==179
Its supplementary angle==180 - 179 ==1
So, the 2 angle are: 179 and 1 degrees.
The 1 degree angle is:179 - 1 ==178 degrees LESS than its supplementary angle of 179.
