Help with angles

[MCLC]

Hi,
can anyone help with the following?

What is the angle between the hour and minute hands of a clock at 6.30pm?


At what time between 6pm and 6.30pm will the hour and minute hands be exactly 125 degrees apart?


Thank you!

[Guest55]

I'll start you on the first one - the minute hand is pointing at the '6', the hour hand is half way between the '6' and the '7'.

[MCLC]

15 degrees?

[Guest55]

15 degrees?

It should be - each section is 360/12 = 30 and you want half of this.

Now 6pm would be 180 degrees and you know 6.30pm is 15 degrees - try a few times between.

[MCLC]

DD put 18 degrees but I was trying to work out whether she was correct and getting confused