124k views
10 votes
An angle measures 178.2° less than the measure of its supplementary angle. What is the measure of each angle?

User Lucas Chwe
by
7.1k points

1 Answer

13 votes

If an angle measures x degrees, its supplement measures (180-x) degrees.

This means that:


x+178.2=180-x\\2x=180-178.2=1.8\\x=0.9

So, the angles measure
\boxed{0.9^(\circ), 179.1^(\circ)}

User Dhobbs
by
6.5k points