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Finding Angle Measures with Parallel Lines

Find the following angle measures, with the given that the horzontal lines are parallel.

Parallel lines with numbered angles

If the measure of angle 1 is 40 degrees, what are the measures of the rest of the angles?

  1.  $m\angle{2}=140$
  2.  $m\angle{3}=140$
  3.  $m\angle{4}=40$
  4.  $m\angle{5}=40$
  5.  $m\angle{6}=140$
  6.  $m\angle{7}=140$
  7.  $m\angle{8}=40$

 

Parallel lines with numbered angles


If the measure of angle 7 is 105 degrees, what are the measures of the rest of the angles?

  1.  $m\angle{1}=75$
  2.  $m\angle{2}=105$
  3.  $m\angle{3}=105$
  4.  $m\angle{4}=75$
  5.  $m\angle{5}=75$
  6.  $m\angle{6}=105$
  7.  $m\angle{8}=75$

 

Paralel lines with numbered angles and triangle


If the measure of angle 10 is 85 degrees and the measure of angle 9 is 110, what are the measures of the rest of the angles?

  1.  $m\angle{1}=15$
  2.  $m\angle{2}=165$
  3.  $m\angle{3}=165$
  4.  $m\angle{4}=15$
  5.  $m\angle{5}=15$
  6.  $m\angle{6}=165$
  7.  $m\angle{7}=165$
  8.  $m\angle{8}=15$