Question

what is the measure of reflex angle between the hands of a clock at 10.25?
pls explain step by step I will mark u brainliest and give u likes.​

Answer 1

Question:-

what is the measure of reflex angle between the hands of a clock at 10.25?

pls explain step by step I will mark u brainliest and give u likes.

Answer:-

Angle traced by hour hand in 125 hrs = 360 x 125 ° = 312 1 ° .

12 12 12 2

Angle traced by minute hand in 25 min = 360 x 25 ° = 150°.

60

Reflex angle = 360° - 312 1 - 150 ° = 360° - 162 1 ° = 197 1° .

2 2 2

2nd step :-

Angle traced minutes hand in 25 minutes =

60

25×360

=150

∘

The hour hand traces half a degree in one minute. Hence, angle traced by hour hand at 10 hour and 25 minutes = 10×30+

2

25

=312.5

∘

Thus, angle between two hands = 312.5−150=162.5

∘

Hence, the reflex angle is = 360−162.5=197.5

∘