et0ricinoDl
et0ricinoDl et0ricinoDl
  • 13-09-2016
  • Mathematics
contestada

In TriangleARC, m AngleA = 70°. What is the measure of arc AC?

40°

70°

80°

140°

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taskmasters
taskmasters taskmasters
  • 15-09-2016
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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