the supplement of an angle is one - third of itself. determine the angle and its supplement
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Let one angle be x
Supplement of x is (180° − x)
Given that angle x is one-third of its supplement
Hence x = (1/3) × (180° − x)
⇒ 3x = (180° − x)
⇒ 4x = 180°
∴ x = 45°
Supplement of x is (180° − x)
Given that angle x is one-third of its supplement
Hence x = (1/3) × (180° − x)
⇒ 3x = (180° − x)
⇒ 4x = 180°
∴ x = 45°
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