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°

Answer 1

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°

Note: A reflex angle is more than 180° but less than 360°. For any acute angle θ, its reflex angle is (360° – θ).