Lines l and m are parallel. Find m∠3 if m∠5 = 38 and m∠6 = 62.
38, 62, 80, 100

Solution:

m∠5 = 38

And

m∠6 = 62.

Therefore m∠7 is calculated as:

m∠5 + m∠7 + m∠6 = 180 ( straight angle)

38 + m∠7 + 62 = 180

m∠7 = 180 - 62 - 38 = 80

Since l and m are parallel

∠7 and ∠3 are alternate angles, therefore

m∠7 = m∠3 = 80

Therefore m∠3 = 80

Lines l and m are parallel. Find m∠3 if m∠5 = 38 and m∠6 = 62.

Summary:

Lines l and m are parallel. if m∠5 = 38 and m∠6 = 62, m∠3 = 80.