Question

∠1 is a complement of ∠4, and m∠1 = 33°. find m∠4. m∠4 =

Explanation:

Step1: Recall complement - angle relationship

Complementary angles add up to 90°. So, $m\angle1 + m\angle4=90^{\circ}$.

Step2: Solve for $m\angle4$

Given $m\angle1 = 33^{\circ}$, then $m\angle4=90^{\circ}-m\angle1$. Substitute $m\angle1 = 33^{\circ}$ into the equation: $m\angle4 = 90 - 33$.
$m\angle4=57^{\circ}$

Answer:

$57$