Chapter 11, Problem 12SGR

To determine

To find the value of $m\angle 8$ .

Answer to Problem 12SGR

  $m\angle 8=112°$

Explanation of Solution

Given information:

There are two parallel lines, ‘m’ and ‘n’, that is cut by a transversal ‘r’ and $m\angle 4=112°$ .

Formula used:

Corresponding angles, to calculate the measure of angles.

Calculation:

The figure given in the questions consists of two parallel lines, ‘m’ and ‘n’ that is cut by a transversal ‘r’. In this case, it is observed that $m\angle 4$ and $m\angle 8$ are corresponding angles.

This can be said since $m\angle 4$ lies on line ‘m’ and $m\angle 8$ lies on line ‘n’. Both these lines are cute by the transversal ‘r’ and have identical angles at which they are cut.

Hence, it can be said that $m\angle 4=m\angle 8=112°$ .