Question

Find the value of x.
A.124
B.57
C.72
D.90

Answer 1

9514 1404 393

Answer:

x = 90°

Explanation:

Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...

105° = (1/2)(x +120°)

210° = x + 120°

210° -120° = x = 90°

_____

Additional comment

z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.