Question

if ∠efg and ∠lmn are complementary, and m∠efg is equal to 32°, then what is m∠lmn? m∠lmn = ?°

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to $90^{\circ}$. So, $m\angle EFG + m\angle LMN=90^{\circ}$.

Step2: Substitute the given value

Given $m\angle EFG = 32^{\circ}$, then $32^{\circ}+m\angle LMN = 90^{\circ}$.

Step3: Solve for $m\angle LMN$

$m\angle LMN=90^{\circ}- 32^{\circ}=58^{\circ}$.

Answer:

$58$