Given the following diagram, find the required measure. Given: l | | m m 1 = 140° m 3 = 50° m 5 = 40 50 90 140

Answer:
40°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means their measures sum to 180°, as they form a straight line.
This means m∠2 = 180-140 = 40°
Since we know that line l and line m are parallel, this means that ∠2 and ∠5 would be alternate interior angles (inside the parallel lines and on opposite sides of the transversal). This means their measures would be equal, so m∠5 = 40°.