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Question
Two supplementary angles are (5x – 82°) and (4x + 73°). Find the value of x.
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Solution
∵ Sum of two supplementary angles = 180°
∴ (5x - 82°) + (4x + 73°) = 180°
5x - 82° + 4x + 73° = 180°
9x - 9° = 180°
9x = 180° + 9° = 189°
x = `189^circ/9 = 21°`
∴ x = 21°
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