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Question
Angles which are both supplementary and vertically opposite are ______.
Options
95°, 85°
90°, 90°
100°, 80°
45°, 45°
Solution
Angles which are both supplementary and vertically opposite are 90°, 90°.
Explanation:
Since, vertically opposite angles are equal.
∴ Let each angle be x.
⇒ x + x = 180° ......[∵Angles are supplementary]
⇒ 2x = 180°
⇒ x = 90°
Thus the required angles are 90° each.
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