Question

Find the value of x in the figure below. Show all steps.



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Answer 1

`\displaystyle 43° = x`

Explanation:

`\displaystyle 52° = (-[2x]° + 190°)/(2) \\ \\ 52° = -x° + 95; 43° = x`

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Answer 2

x = 43

Explanation:

The external angle is half the difference of the intercepted arcs:

52 = (190 -2x)/2

52 = 95 -x . . . . . . simplify

x = 95 -52 . . . . . . add x-52

x = 43