Question

if ∠efg and ∠lmn are supplementary, and m∠efg is equal to 71°, then what is m∠lmn? m∠lmn = ?°

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Substitute the given value

Given \(m\angle EFG = 71^{\circ}\), substitute into the equation: \(71^{\circ}+m\angle LMN = 180^{\circ}\).

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

Subtract \(71^{\circ}\) from both sides: \(m\angle LMN=180^{\circ}-71^{\circ}\).

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Answer:

$109$