An angle measures 84.6° more than the measure of its supplementary angle. What is the measure of each angle?

Question

My answer needs to include two angle measures

Answer 1

Let x = measure of the first angle

Then (180-x) is an expression that represents its supplement.

We are told that the given angle is 84.6 degrees more than its supplement.

That means we can write the following equation to model the situation:

x = 84.6 + (180-x) [angle is 84.6 more than its supplement]

2x = 264.6

x= 132.3 This is the original angle

Its supplement is:

180.0 - 132.3 = 47.7

Check:

47.7 + 84.6 = 132.3 , i.e. 132.3 is 84.6 more than its supplement 47.7.