9514 1404 393
Answer:
(x, y) = (5, 9)
Explanation:
We must find the value of x before we can find the value of y. Fortunately, simply adding the arcs around the circle will give an equation for x.
25x +20x +7x +20x = 360 . . . . angles in degrees
72x = 360 . . . simplify
x = 5 . . . . . . divide by 72
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The value of the external angle at J is half the difference of arcs GL and HK. That is, ...
5y = (25x -7x)/2 = 9x = 9(5) . . . . simplify, fill in for x
y = 9 . . . . . . divide by 5
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(x, y) = (5, 9)