Question

its solution is here but i am getting problem in some steps ​

Answer 1

Answer:

see the sum of angles of a circle =360°

So the angle between any two successive rradings for example 1 and 2. or 5 and 6

would be equal to 360°/12(since there are 12 markings on a clock)

=30°

this means the angke made by clock hand in moving from 1 to 2or from 10 to 11 is 30°

Now when the clock strikes 7 o clock

the smller hand is on 7

and the larger is on 12

but we count angles in the direection in which the clock hand move

that is from 12 to 7

sincere there are 7 markings between 12 and 7 therefore the angle formed between them=7*30°=210°

as you have mentioned your doubt.

now since the smaller hand is between 7 and 8 there fore whatever the time will be it would definitely be 7 hours

and the hour hand moves from one mark to the succesive mark in an hour therefore covering only 30°

And in a minute it would become

30°/60=(1/2)°

now the minute hand as you have underlined moves 360°in an hour

See when it's for example 5o clock

then minute hand would be on 12

and when it would 6 o clock tgen the minute hand wouod again be in 12

that is completing an entire circle of motion through the hour

and since the circle has 360° therefore the minute hand moves 360° in hour

and 360°/60 in one minute=6°

now coming to the formula they have derived

It is said that the time is 7 hours and x minutes

tgerfore

210°

the other addent (x/60)*30°

is derived in a rather complex way

see x here equals to a minute

but 30° is the angle completed in an hour therfore it is fivided by 60 to find tge angle covered by it in a minute

which equals(1/2)°

hence x that is the minutes they will be multiplied by (1/2)° so that ig finds the angle covered by the clock in those minutrs

and -6x the last addenr is there because the x denotrs minutes and 6 denotes angle vovered per minute by the minute hand.

therefore 6x would render the angke moved by the minute hand i n these minutes

Hope it helps you

please mark ita sthe brainliest answer

i have put in quite an effort typing this on my phone