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°. Let \(m\angle EFG = 32^{\circ}\) and \(m\angle LMN=x\). Then \(m\angle EFG + m\angle LMN=90^{\circ}\), or \(32^{\circ}+x = 90^{\circ}\).

Step2: Solve for \(x\)

\(x=90^{\circ}-32^{\circ}\)

Answer:

\(58\)