Question

lines m and n are parallel. find the measure of ∠a. m∠a = ?°

Explanation:

Step1: Find the adjacent angle of \(124^{\circ}\)

Since the sum of adjacent angles is \(180^{\circ}\), let the adjacent angle be \(x\). Then \(x + 124^{\circ}=180^{\circ}\), so \(x = 180^{\circ}- 124^{\circ}=56^{\circ}\).

Step2: Use the property of parallel lines

Because lines \(M\) and \(N\) are parallel, \(\angle a\) and \(x\) are corresponding angles. So \(\angle a=x = 56^{\circ}\).

Answer:

$56$