Q20 - Geometry

Question

Complete. $m\angle 2+m\angle 3=?$

Step-by-Step Solution

Answer

The answer is $m\angle 2+m\angle 3=\mathbf{180}\mathbf{°}$

Step 1. Apply the definition of sum of angles on a straight line

The sum of all angles on a straight line is $180°$.

Step 2. Description of step

When two lines intersect each other at a point, they formed linear pair of angles. The sum of linear pair of angles is $180°$.

Step 3. Calculate m∠2+m∠3=m∠?

Here, $m\angle 2$ and $m\angle 3$ linear pair of angles, therefore,

$m\angle 2+m\angle 3=180°$