John's clock is broken. The minute hand rotates around the clock correctly, but the hour hand is stuck in the three o'clock position. Suppose John first looks at the clock when the hands are
aligned and it shows 3:15. He looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -145 degrees. How many degrees could the minute
hand have rotated to reach its current position?

-35 degrees
-505 degrees
-325 degrees
-415 degrees

First, note that a clock is a circle made of [tex]360[/tex]° and that each number represents an angle and the separation between them is [tex]\frac{360}{12}=30[/tex].

So, it is given that the hour and minute hands of the clock form the arms of an angle measuring [tex]-145[/tex]°.

and it is also given that John first looks at the clock when the hands are aligned and it shows [tex]3:15[/tex].

So, the degrees that could minute hand have rotated to reach its current position is [tex]=-360+(given angle)[/tex]

[tex]=-360-145[/tex]

[tex]=-505[/tex]°

Hence, option(b) [tex]-505[/tex] degrees could the minute hand have rotated to reach its current position.

What are the degrees on a clock?

The entire clock measures 360°. As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). The distance between the 2 and the 3 on the clock is 30°.

What is 45 degrees on a clock?

45° (45 degrees)

If the minute hand moves to seven and a half minutes past 12, and the hour hand stays pointing to the 12, the angle between the hands is 45 degrees.

To learn more about the degree in clock, refer to:

https://brainly.com/question/13576829

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