Question

At 7'o clock the hands of clock make an obtuse angle and a reflex angle. Calculate the size in degrees of these angles.

Answer 1

No. of divisions in clock = 12
total degree= 360
each division= 360/12 = 30 degrees
at 7'o clock
reflex angle = 7 divisions = 7*30= 210 degrees
obtuse angle= 5 divisions = 5*30 = 150 degrees

Answer 2

Reflex angle = 210° and Obtuse angle = 150°

Step-by-step explanation:

Given,

At 7'o Clock,

Hour hand = 7 and minute hand = 12

Total degree of one revolution = 360°

∴ Each division = $\dfrac{360}{12}$= 30°

∴ Reflex angle = 7 divisions = 7 × 30° = 210°

Also,

Obtuse angle = (12 - 7) divisions = 5 × 30° = 150°

Hence, At 7'o clock Reflex angle = 210° and Obtuse angle =  150°