Question

Find each measure:

Answer 1

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.
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Hope this helps!