Question

if ∠efg and ∠lmn are a linear pair, and m∠efg is equal to 134°, then what is m∠lmn? m∠lmn = ?°

Explanation:

Step1: Recall the property of linear pair

Linear pair of angles sum up to \(180^{\circ}\). So, \(m\angle EFG + m\angle LMN=180^{\circ}\).

Step2: Substitute the given value

Given \(m\angle EFG = 134^{\circ}\), then \(134^{\circ}+m\angle LMN = 180^{\circ}\).

Step3: Solve for \(m\angle LMN\)

\(m\angle LMN=180^{\circ}- 134^{\circ}\)
\(m\angle LMN = 46^{\circ}\)

Answer:

\(46\)