The value of x in the intersecting chords is determined as x = 9. (Option D).
How to calculate the value of x?
The value of x in the intercepting chords is calculated by applying intercepting chord theorem.
The given values of the angles include;
smaller arc angle = 2 x 78 (tangent angle of intersecting chords)
bigger arc angle = 23x - 3
The value of x is calculated as follows;
(2 x 78) + 23x - 3 = 360 (sum of angles in a circle)
156 + 23x - 3 = 360
23x + 153 = 360
23x = 360 - 153
23x = 207
divide both sides by 23
x = 207 / 23
x = 9
Thus, the value of x in the intersecting chords is determined as x = 9.
The missing part of the question is below:
Find the value of x
A. x = 102
B. x = 4
C. x = 5
D. x = 9