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Between 4 pm and 55 pm, what are the times for the hour hand and the minute hand to make an angle of 50 degrees? Express your answer to the nearest minute.

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1 Answer

Hey Alif!

Always begin with simple ideas -- at 4:00 the angle is 120 deg (20 of 60 "notches").

For 50 deg, how many notches needed? At 6 deg / notch, need about 8 notches ...

Probably 4:13 is the 1st ... visualize the next 8-notch spread ... 4:31?

That's it -- angle only widens from there to 5pm ...  

For the other "o'clock's", shift everything 5 "notches" ...

5:18, 5:36 ... 6:23, 6:41 ... 7:28, 7:46 ... 8:33, 8:51 ... Best wishes, sir :)

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Thanks! Really big thanks for helping and assisting and even a bit of tutoring! THANK YOU!

You are welcome anytime ...

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