Question

applying the angle formed by a tangent and chord theorem
the measure of $overset{\frown}{adb}$ is $162^{\circ}$. what is the measure of $angle eab$?
$\boldsymbol{square}^{circ}$

Explanation:

Step1: Recall the tangent-chord theorem

The measure of an angle formed by a tangent and a chord is half the measure of its intercepted arc.

Step2: Identify the intercepted arc

$\angle EAB$ intercepts arc $\overparen{ADB}$, so $\angle EAB = \frac{1}{2} \times m\overparen{ADB}$

Step3: Substitute the given arc measure

$\angle EAB = \frac{1}{2} \times 162^\circ$

Answer:

$81^\circ$