Question

An angle measures 67.4° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Supplementary Angles

Supplementary angles are angles that have a sum of 180 degrees.

Solving the Question

Let the angle be x.

We're given:

• x measures 67.4° more than the measure of 180-x

• ⇒ Change this into a mathematical sentence:

• 
  `x=67.4+(180-x)`

Solve for x:

`x=67.4+(180-x)\\x=67.4+180-x\\2x=247.4\\x=123.7`

Solve the the supplementary angle:

`180-x\\= 180-123.7\\= 56.3`

Answer

The angle measures 123.7 degrees and its supplementary angle measures 56.3 degrees.