The value of x is 84°.
Solution:
Measure of intercepted arc = 168°
Measure of angle x = ?
Tangent-chord relationship:
If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.
[tex]$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ[/tex]
[tex]$\Rightarrow \angle x = 84^\circ[/tex]
The value of x is 84°.
