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Concept of Ratio between 2 Quantities Using Line Segments

find x if x-9...

Question

find x if (x-9) and (5x+3) are supplementary angles

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Solution

Since (x - 9)° and (5x + 3)° represent a pair of supplementary angles, then their sum must be equal to 180°.

Therefore, (x - 9) + (5x + 3) = 180

x - 9 + 5x + 3 = 180

x + 5x - 9 + 3 = 180

6x - 6 = 180

6x = 180 +6

6x = 186

x = 186/6

x = 31°

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Concept of Ratio between 2 Quantities Using Line Segments

Standard VIII Mathematics

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