Question

Measures of the angles between hour and minute hands of a clock at 9'o clock are :
(a) 60°,300°
(b) 270°,90°
(c) 75°,285°
(d) 30°,330° ​

Answer 1

B).270°, 90°

We know that a measure of the complete angle of the clock is 360o

From the figure, we can say that angle at 2 = (9/12) × 360o= 270o Then, angle at 1= 360o – 270o= 90o

Therefore, measures of the two angles between the hour and minute hands of a clock at 9 O’ clock are 270o and 90o.