Question

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

Explanation:

Step1: Recall complementary - angle definition

Complementary angles sum to $90^{\circ}$.

Step2: Set up the equation

Let $m\angle LMN=x$. We have $m\angle EFG + x=90^{\circ}$.

Step3: Substitute the given angle value

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

Step4: Solve for $x$

$x=90^{\circ}-32^{\circ}=58^{\circ}$.

Answer:

$58$