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Question
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
Options
72°
144°
36°
18°
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Solution
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is 36°.
Explanation:
Let the angles be x, 2x, 3x, 4x
Sum of interior angles of a quadrilateral = 360°
x + 2x + 3x + 4x = 360°
⇒ 10x = 360°
⇒ x = 36°
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