Chord AB divides the circle into two arcs, the degree values of which are related as 3: 7.

Chord AB divides the circle into two arcs, the degree values of which are related as 3: 7. At what angle is this chord visible from point C, which belongs to the smaller arc of the circle?

Let the degree measure of the smaller arc AB = 3 * X0, then the degree measure of the larger arc is 7 * X0.

3 * X + 7 * X = 360.

X = 360/10 = 360.

Then the degree measure of the larger arc is 7 * 36 = 252.

The inscribed angle ACB rests on a large arc AB, then the angle ACB = 252.

Answer: Chord AB is seen from point C at an angle of 252.



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