Question

Write something you can conclude from the given information.

Given:$m\angle 6=m\angle 4$

Short answer

The obtained conclusion is$m\angle 3=m\angle 4$.

Step-by-step solution

Step 1. Definition of vertically opposite angles.

According to the definition of vertically opposite angles are referred as those angles which are formed when a line travels from two separate lines and the measurement of these angles is the same.

Step 2. Use the definition of vertically opposite angles.

The angles that are vertically opposite in the figure are $m\angle 6$and $m\angle 3$so make an equation by using the property of these angles.

$m\angle 6=m\angle 3$

Step 3. Make the conclusion.

As the value of $m\angle 6$and $m\angle 3$are the same which means that into the given figure $m\angle 6$ can be replaced with $m\angle 3$. So the obtained conclusion will be $m\angle 3=m\angle 4$.