Chapter 11.5, Problem 29CCR

To determine

To determine the measure of $\angle 3$ in the given figure.

Answer to Problem 29CCR

  $\angle 3=35°$

Explanation of Solution

Given:

  

The measure of $\angle 5=145°$

Calculation:

  

The measure of $\angle 5=145°$ is given,

Now from the figure it can be concluded that $\angle 5$ and $\angle 3$ are forming a straight line that is the line adjacent to $\angle 5$ and $\angle 3$ are forming a straight line.

  

So, sum of $\angle 5$ and $\angle 3$ is $180°.$

  $\Rightarrow$ $\angle 5+\angle 3=180°$

Here $\angle 5=145°$ ,

So,

  $\Rightarrow$ $145°+\angle 3=180°$

  $\Rightarrow$ $\angle 3=180°-145°$

  $\Rightarrow$ $\angle 3=35°$

Conclusion:

Therefore, the measure of $\angle 3$ in the given figure is $\angle 3=35°$ .