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Question
Measures of the two angles between hour and minute hands of a clock at 9 O’ clock are ______.
Options
60°, 300°
270°, 90°
75°, 285°
30°, 330°
MCQ
Fill in the Blanks
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Solution
Measures of the two angles between hour and minute hands of a clock at 9 O'clock are 270°, 90°.
Explanation:
The positions of hour and minute hands of a clock at 9 O’clock are represented in the following figure
Clearly, ∠1 = 90°
And ∠2 = Reflex of ∠1 = 360° – 90° = 270°
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Notes
A reflex angle is more than 180° but less than 360°. For any acute angle θ, its reflex angle is (360° – θ).
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