Question

What is the value of x? inscribed angles

Answer 1

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.

$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ$

$\Rightarrow \angle x = 84^\circ$

The value of x is 84°.