Two angles are supplementary and they are in the ratio 3 : 7 What is the size of the larger of the two angles?

126

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116

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102.9

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153

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Solution

The correct option is A
126

Let the angles be 3x° and 7x° Since they are supplementary, they must add to 180° So 3x° + 7x° = 180° ? 10x = 180 ? x = 180 ÷ 10 = 18 So the larger of the two angles = 7 × 18° = 126°

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