The supplement of an angle is one third of itself . Determine both the angles.
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Let the angle be x
Supplement of angle x is (180 − x)°
Given x = 1/3 × (180 − x)°
⇒ 3x = (180 − x)°
⇒ 4x = 180°
∴ x = 45°
Thus the 1st angle is 45° and the 2nd angle is 135.
Supplement of angle x is (180 − x)°
Given x = 1/3 × (180 − x)°
⇒ 3x = (180 − x)°
⇒ 4x = 180°
∴ x = 45°
Thus the 1st angle is 45° and the 2nd angle is 135.
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