Two supplementary angles have measures of 9x degrees and 3x degrees. What is the measure of the longer angle?

  • 180 degrees
  • 45 degrees
  • 135 degrees
  • 15 degrees

Supplementary angles must add up to 180 degrees. Using that logic, you can solve for x.

9x 3x = 180
12x = 180
x = 15

Now plug 15 in to 9x and 3x individually, and your two angles will be 135 degrees and 45 degrees. Answer 3 is correct since you want the longer angle.
The question from the test: Mathematical Reasoning GED.

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