Question

Please use the following image to answer the question.

Find m∠G.


What is the degree of m

Please show all the work on how you got your answer.(You don’t need to explain just show the work)

Answer 1

Explanation:

Angle G is an inscribed angle. The rule is that the measure of an inscribed angle is half the measure of the arc it intercepts. Angle G intercepts arc FD. That means that we need to find the measure of arc FD. The measure all the way around the outside of a circle is 360 degrees. Arc FG is 70, arc GD is 120, so

Arc FD = 360 - 70 - 120 and

Arc FD = 170

That means that angle G is half of 170, which is 85