Question

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

Answer 1

`\displaystyle 15 = x`

Explanation:

`\displaystyle (138°)/(2) = [5x - 6]°; 69° = [5x - 6]°; 15 = x`

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Answer 2

x = 15

Explanation:

The marked angle where the chords cross is half the sum of the intercepted arcs:

5x -6 = (101 +37)/2

5x -6 = 69 . . . . . . . simplify

5x = 75 . . . . . . . . . .add 6

x = 15 . . . . . . . . . . . divide by 5