SOLUTION: Solve for the measures of angles E & F.
Circle: https://i.imgur.com/qLHr5td.png
For angles G and H I got:
G: 73 degrees.
H: 98 degrees.
Thank-you.
Algebra ->
Circles
-> SOLUTION: Solve for the measures of angles E & F.
Circle: https://i.imgur.com/qLHr5td.png
For angles G and H I got:
G: 73 degrees.
H: 98 degrees.
Thank-you.
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Question 1115068: Solve for the measures of angles E & F.
Circle: https://i.imgur.com/qLHr5td.png
For angles G and H I got:
G: 73 degrees.
H: 98 degrees.
Thank-you. Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! You should have found that x = 9 and y = 17. That leads to G = 73 and H = 98, both of what you got is correct.
Since the quadrilateral is inscribed in the circle, this means the opposite angles add to 180 degrees. So E+G = 180 leads to E+73 = 180 and it solves to E = 107 after subtracting 73 from both sides.
Similarly, F+H = 180 becomes F+98 = 180 which solves to F = 82
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