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Question
The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.
Sum
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Solution
We know that, sum of two supplementary angles = 180°
∴ (3x + 15)° + (2x + 5)° = 180° ‘
3x + 15 + 2x + 5 = 180°
⇒ 3x + 2x+15 + 5 = 180°
⇒ 5x°+ 20° = 180°
⇒ 5x = 180° – 20°
⇒ 5x= 160°
⇒ x = `160/5`
⇒ x = 32°
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