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I found the image that should have accompanied this problem.

The triangle inside the circle is an isosceles triangle. It has 2 equal sides and 2 equal angles. 

Angle A = 70° , Angle C is also 70°. This leaves angle R having 40°.

The arc opposite angle R is twice the measure of its angle.

Angle R = 40°
Arc AC = 40° x 2 = 80°

The measure of arc AC is 80°.

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