Chapter 11.5, Problem 38SPR

To determine

To find: The value of $m\angle 5$ .

Answer to Problem 38SPR

The required value of the angle is $75°$ .

Explanation of Solution

Given:

The given Figure is shown in Figure 1.

  

Figure 1

Calculation:

Consider that when the two secants or chord intersect inside the circle than each angle measure is the half the sum of the measure of its intercepted arcs.

Then,

  $\begin{array}{c}m\angle 5=\frac{1}{2}\left(80+70\right)\\ =\frac{1}{2}\left(150\right)\\ =75°\end{array}$