Question

The measure of ADB is 162. What is the measure of EAB?

Answer 1

Answer-

$\boxed{\boxed{m\angle EAB=81^{\circ}}}$

Solution-

Tangent-Chord Angle Theorem

An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc .

As EF is a tangent to the circle, AB is a chord of the circle.

So, applying the theorem

$m\angle EAB=\dfrac{1}{2}\widehat{ADB}$

As given that, $\widehat{ADB}=162^{\circ}$

Putting the value,

$m\angle EAB=\dfrac{1}{2}\times 162^{\circ}=81^{\circ}$

Answer 2

You divide 162 and it equals to     81