Question

Two adjacent angles are in ratio 7:2. If they form a linear pair, find the measure of each angle​

Answer 1

140° , 40°

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Answer 2

$\bf \huge {\underline {\underline \red{QuEsTiOn}}}$

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Two adjacent angles are in ratio 7:2. If they form a linear pair, find the measure of each angle.

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$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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Given

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• Ratio of adjacent angles = 7 : 2

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• Angles form linear pair

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To Find

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• Measure of each angle

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Solution

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Let angles be 7x and 2x.

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According to question,

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$\bf \implies7x + 2x = 180 \degree$

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$\bf \implies9x = 180 \degree$

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$\bf \implies x = 180 \div 9$

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$\bf \implies x = 20 \degree$

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Therefore, angles are :-

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7x = 7 × 20 = 140°

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7x = 7 × 20 = 140°2x = 2 × 20 = 40°

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Hence, angles are 140° and 40°.