Question

What is the measure of m<3

Answer 1

Answer:

Step-by-step explanation:

Since line A is parallel to line B, then angle 1 and angle D are alternate interior and are congruent. That means that angle 1 is 60. Angle 2 can be found by  subtracting 60 + 58 from 180:

180 - 60 - 58 = 62. Now to find angle 3, we just subtract angle 1 and angle 2 from 180:

180 - 60 - 62 = 58 (which works out perfectly because angle 3 and angle E are congruent as we just found out!)

Answer 2

Since a is parallel to b , taking CE as transversal

m< CED = m<3 = 58° (alternate interior angles)