What can you conclude from the information given?

Given: $\overrightarrow{AD}\perp \overleftrightarrow{AC}$; $\overrightarrow{CE}\perp \overleftrightarrow{AC}$; $m\angle 1=m\angle 4$

The definition of perpendicular lines states that the relation between two lines is perpendicular when the property of angles formed by those lines is represented by congruent adjacent angles.

The ∠DAC and ∠ECA represent the right angle so their value will be equal to 90°.

The ∠DAC comprises the angles ∠1 and ∠2 as is a right angle so the addition of ∠1 and ∠2 will be equal to 90°.

$\angle 1+\angle 2=90°$

The ∠ECA comprises the angles ∠3 and ∠4 as ∠ECA is a right angle so the addition of ∠3 and ∠4 will be equal to 90°.

$\angle 3+\angle 4=90°$

According to the given relation between the angles and the property of∠1,∠2,∠3 and∠4 that is represented by congruent adjacent angles, the value of$m\angle 2$ and$m\angle 3$ will be the same. Make an equation that represents the conclusion.

$m\angle 2=m\angle 3$