The measures of two supplementary angles are in the ratio of 2:3. What are the measurements of the two angles?

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Answer 1 · 2018-06-19T18:26:27

$72^{0} & 108^{0}$ $72^0 " & "108^0$

supplementary angles add up to $180^{0}$ $180^0$

let the angles are in ratio

$2 : 3$ $"2:3$

$2 : 3 \to 2 + 3 = 5 parts$ $2:3rarr2+3=5" parts"$

$5 parts = 180^{0}$ $5 " parts "=180^0$

$1 part = \frac{180}{5} = 36^{0}$ $1" part "=180/5=36^0$

$2 : 3 : : 2 \times 36 : 3 \times 36$ $2:3::2xx36:3xx36$

$: : 72^{0} : 108^{0}$ $::72^0:108^0$