lines m and n are parallel. find the measure of ∠a. m∠a = ?°
lines m and n are parallel. find the measure of ∠a. m∠a = ?°
Answer
Answer:
$56$
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}).