Chapter 9.7, Problem 2ST2

To determine

To find: the value of $marcAD$ .

Answer to Problem 2ST2

The value of $marcAD=150$ .

Explanation of Solution

Given information:

Given figure,

  $\overleftrightarrow{MD}$ is tangent to the circle.

If $m\angle ADM=75$

Calculation:

The measure of an angle formed by a chord and a tangent is equal to halt the measure of the intercepted arc.

Therefore, solve as follows,

  $\begin{array}{c}m\angle ADM=\frac{1}{2}marcAD\\ 75=\frac{1}{2}\cdot marcAD\\ 150=marcAD\end{array}$

Therefore, the value of $marcAD=150$ .