Stuart has drawn a pair of concentric circles, as shown. He draws chords AB, BC,... of the large circle, each tangent to the small one. If

It's supposed to say "If

If measurement of angle ABC=75 degrees, then how many segments will he draw until he reaches his starting point A.

See my answer here:

 https://web2.0calc.com/questions/help_9450

Thanks, CPhill! :)

I come up with the following:

the 75 degree angle between the two first chords is repeated until the endpoint is back to A

the ARC this angle encompasses is  2 * 75 = 150 degrees

Keep adding 150 degree shifts until the endpoint coincides with A:

The LCM of 150 and 360 degrees (which will bring us back to A) is 1800

    1800/150 = 12  angles which will require a total of 13 chords to complete