Chapter 9, Problem 19CR

To determine

To complete: the blank in the given statement.

Answer to Problem 19CR

  $\angle 1={105}^0$

Explanation of Solution

Given information:

The given statement is “If the arc length $EF=120$ and arc length $GH=90$ , then $m\angle 1=$$\underset{\_}{}$ ”.

The given figure is as follows:

  

From the given diagram,

  $\begin{array}{l}\angle 1=\frac{1}{2}m(EF)+\frac{1}{2}m(GH)\\ =\frac{1}{2}({120}^0+{90}^0)\\ ={105}^0\end{array}$

Hence, $\angle 1={105}^0$