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Question
If 3x + 18° and 2x + 25° are supplementary, find the value of x.
Sum
Solution
∵ 3x + 18° and 2x + 25° are supplementary angles
∴ 3x + 18° + 2x + 25° = 180°
⇒ 5x + 43° = 180°
⇒ 5x = 180°− 43° = 137°
⇒ x =`(137°)/5` = 27.4° or 27° 24′
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Concept for Pairs of Angles
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