Angle DGH is 137/2 = 68.5, and angle HJG is 89. So we can find angle EHG as follows: 180 - (68.5 + 89) = 180 - 157.5 = 22.5 Arc EG is twice 22.5, which is 45 degrees Arc DE is 360 - (137 + 61 + 45), because the number of degrees in a circle is 360. We simplify as follows: Arc DE = 117 degrees. --- Hope this helps!
