Question

The reflex angle in degree between the hands of a clock at 10.25 is:

Answer 1

Reflex Angle is the angle greater than 180° but less than 360°
i.e., Reflex angle € ( 180, 360 ).

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Steps:

1.First find Angle between Hands of a clock at 10 : 25
2.Then subtract it from 360°

To find Angle,A between hands of a clock:
A= | 30H - 5.5M | ;where H is the time in hours and M is the time in minutes.
Here, You shouldn't consider a negative value , so use mod.

(Tip: To speed up multiplying with 5.5, multiply it as 5.5= 11*5*0.1)
(Tip2: For multiplying a no. with 11, drop first and last digits as it is and go on adding two digits till last digit from first digit)
(Tip3: For multiplication of 5, Use x*5= (x*10)/2

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Angle b/w hands of clock at 10:25:

H= 10 ;M=25
Sub. in formula

30(10)- 5.5(25)

{25*5.5
= 25*(5*11*0.1)
=125*11*0.1
(125*11= 1 (1+2) (2+5) 5
= 1375)
=1375*0.1=137.5}

Angle = 300 - 137.5
Angle,A = 162.5°
•°• The angle b/w hands of a clock at 10:25= 162.5°

Reflex Angle =360° - 162.5°
= 192.5°

Hope it helps
;)
Comment if you need to clear something..

Answer 2

Answer:

$197 \times \frac{1}{2}$

or

197.5

Step-by-step explanation:

use the formula ::

$30 (h - \frac{m}{5} ) + \frac{m}{2}$

this is for the angle ☝

$30( \frac{m}{5} - h) - \frac{m}{2}$

this is for degree ☝

therefore by using the above formula ......

we get ,

197.5

●○●○● this is 100% the correct answer●○●○●