The ratio of the measures of two supplementary angles is 5:3. What are the measures of the angles?

Question

7082 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-22T15:44:50

Measures of the two supplementary angles are #color(crimson)(112.5^@, 67.5^@# respectively.

For two angles to be supplementary, their sum should equal #pi^c or 180^@#

Given #hat A + hat B = 180#

#(hat A)/(hat B) = 5/3#

#:. hat A = (5/(5+3)) * 180 = 112.5^@#

Similarly, #hat B = (3/(5+3))*180 = 67.5^@#