Triangle ABC is inscribed in the circle, mA=50, and AB=BC. Find arch AC.

A. 80 Degrees

B. 100 Degrees

C. 160 Degrees

D. 200 Degrees

The answer is C) 160.

We know this because if mA = 50, we know that mC must also be 50. This is due to the fact that AB = BC. This leaves us with mB as 80 since the angles of a triangle always have to equal 180.

Now knowing this, it is easy to find the arc lengths in degrees. When you have a transcribed triangle, all we are going to do here is double the angle of the triangle to get the arc measure.

mB = 80

80*2 = 160