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

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