Chapter 3.2, Problem 5CYU

To determine

To find the measure of each angle

Answer to Problem 5CYU

  $\angle 7=79°$

Explanation of Solution

Given information:

  $m\angle 4=101$

Calculation:

According to given figure, $\angle 4$ and $\angle 6$ are alternate interior angles.

So,

$m\angle 6=m\angle 4$

So,

$m\angle 6=101°$

Now,

As $\angle 7$ and $\angle 6$ forms a linear pair,

$m\angle 6+m\angle 7=180°$

Substituting value,

$101+m\angle 7=180°$

Subtracting 101,

$\angle 7=180-101$

So,

$\angle 7=79°$

Hence, value of $\angle 7$ is $79°$ .