An angle measures 178° less than the measure of its supplementary angle. What is the measure of each angle?

Guest Sep 22, 2022

#1**0 **

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.

Guest Sep 22, 2022