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Question
If two supplementary angles are in the ratio 1:2, then the bigger angle is ______.
Options
120°
125°
110°
90°
Solution
If two supplementary angles are in the ratio 1:2, then the bigger angle is 120°.
Explanation:
We know that, when the sum of the measures of two angles is 180°, then the angles are called supplementary angles.
Let us assume two angles be 1x and 2x.
∴ 1x + 2x = 180°
⇒ 3x = 180°
⇒ x = `180^circ/3`
⇒ x = 60°
∴ The bigger angle is 2x = 2 × 60° = 120°.
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