Question

which equation shows the relationship between the exterior angle and the interior angles? m∠2 = m∠1 - m∠4 m∠2 = m∠3 + m∠4 m∠4 = m∠3 - m∠2 m∠4 = m∠2 - m∠3

Explanation:

Step1: Recall exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.
In the given triangle, if we consider the exterior angle $\angle2$, the two non - adjacent interior angles are $\angle3$ and $\angle4$.

Step2: Write the relationship

So, $m\angle2=m\angle3 + m\angle4$.

Answer:

$m\angle2=m\angle3 + m\angle4$