The measures of two angles are in the ratio $7 : 8$ and they are supplementary angles. What are their measures in degrees?

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Solution

Two angles are in ratio $7 : 8$
Let the $2$ angles be $7 x$ and $8 x$
Since they are supplementary angles:
$7 x + 8 x = 180^{\circ} \Rightarrow 15 x = 180^{\circ} \Rightarrow x = 12^{\circ}$
$∴$ Angles are $7 \times 12^{\circ}, 8 \times 12^{\circ}$
i.e., $84^{\circ}$ and $96^{\circ}$

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The measures of two angles are in the ratio 7:8 and they are supplementary angles. What are their measures in degrees?

Two angles are in ratio 7:8Let the 2 angles be 7x and 8xSince they are supplementary angles:7x+8x=180∘⇒15x=180∘⇒x=12∘∴ Angles are 7×12∘,8×12∘i.e., 84∘ and 96∘

The measures of two angles are in the ratio $7 : 8$ and they are supplementary angles. What are their measures in degrees?

Two angles are in ratio $7 : 8$
Let the $2$ angles be $7 x$ and $8 x$
Since they are supplementary angles:
$7 x + 8 x = 180^{\circ} \Rightarrow 15 x = 180^{\circ} \Rightarrow x = 12^{\circ}$
$∴$ Angles are $7 \times 12^{\circ}, 8 \times 12^{\circ}$
i.e., $84^{\circ}$ and $96^{\circ}$