Answer:
(b) 7
Explanation:
You want to find the value of x in the figure where chords that cross at an angle of 122° intercept arcs of 195° and (6x+8)°.
Crossing angle
The angle where the chords cross is half the sum of the measures of the intercepted arcs:
(194° +(6x +8)°)/2 = 122°
101 +3x = 122 . . . . . . . . . . divide by °, simplify
3x = 21 . . . . . . . . . . . subtract 101
x = 7 . . . . . . . . . . divide by 3
The value of x is 7.
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Additional comment
The measure of arc KU is 50°.
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