Find the measures of the angles requested and explain how you found them.  Each part is a separate problem. 

1. If $m∠4 = 61º$, find  $m∠6$.

   Hint (a):

   Angle 4 is supplementary with angle 2, which corresponds to angle 6. Since the lines cut by the transversal are parallel, corresponding angles are equal.

2. If  $m∠1 = 48º$, find  $m∠8$. 

   Hint (b):

   Angle 1 and angle 4 are vertical angles, which are always equal. In addition, angle 4 and angle 8 are corresponding angles.

   Step 1 (b):

   $m∠1 = m∠4$

   Step 2 (b):

   $m∠4 = m∠8$

3. If  $m∠2 = 137º$, find  $m∠8$.

   Hint (c):

   Angle 2 and angle 6 are corresponding angles. Since the lines are parallel, they will have equal measure. Angle 6 and angle 8 are supplementary.