Question 1154879
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A circle with center at the midpoint of the hypotenuse of a right triangle, and diameter equal to the hypotenuse, circumscribes the triangle, so all the vertices of the triangle are points on the circle.<br>
Since AB is a diameter (dividing the circle into two 180-degree arcs) and arc BC is 60 degrees, minor arc AC is 120 degrees.  Then of course major arc AC is 360-120=240 degrees.<br>
The angle measure of minor arc AC is twice the angle measure of minor arc BC; since they are arcs of the same circle, the actual length of minor arc AC is twice the length of minor arc BC.<br>