There are 2 supplementary angles and they are in the ratio of 3 to 2. What is the measure of the larger angle?

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There are 2 supplementary angles and they are in the ratio of 3 to 2. What is the measure of the larger angle?

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Answer 1 · 2018-06-05T10:01:43

$108^{\circ}$ $108^@$

Explanation:

$supplementary angles sum to 180^{\circ}$ $"supplementary angles sum to "180^@$

$sum the parts of the ratio 3 + 2 = 5 parts$ $"sum the parts of the ratio "3+2=5" parts"$

$\frac{180^{\circ}}{5} = 36^{\circ} \leftarrow 1 part$ $180^@/5=36^@larrcolor(blue)" 1 part"$

$3 parts = 3 \times 36^{\circ} = 108^{\circ}$ $3" parts "=3xx36^@=108^@$

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There are 2 supplementary angles and they are in the ratio of 3 to 2. What is the measure of the larger angle?

1 Answer

Explanation:

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