Chapter 2.5, Problem 3MRE

To determine

To conclude: From the given figure

Answer to Problem 3MRE

  $m\angle 3=m\angle 4$

Explanation of Solution

Given information:

  

  $m\angle 6=m\angle 4$

Since,

When two lines intersect each other the opposite angles are called vertically opposite angles

Thus,

  $m\angle 6=m\angle 3\dots \dots (1)$

And

It is known that

  $m\angle 6=m\angle 4\dots \dots$ (2) From equation (1) and (2)

Therefore, the angles are equal

That is;

  $m\angle 3=m\angle 4$