Question

An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

82 degrees and 98 degrees


First, find the original equation

180 = (x) + (x + 16)


Simplify: 180 = 2x + 16


Next, use the subtraction property of equality to subtract 16 from both sides


180 - 16 = 2x + 16 - 16


Simplify: 164 = 2x


Then, you can use the division property of equality to find the value of x

164/2 = 2x/2


Simplify: 82 = x



Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees