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The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.

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The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.

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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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