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Lines \(m_{1},m_{2},l_{1},l_{2}\),  and  are coplanar, and they are drawn such that \(l_{1}\) is parallel to \(l_{2}\), and \(m_{2}\) is perpendicular to \(l_{2}\). If the measure of angle 1 is 50 degrees, what is the measure in degrees of angle 2 in the figure below?

 Aug 1, 2017
edited by Guest  Aug 1, 2017
 #1
avatar+8956 
+3

Here I labeled angle 3 .

Since  l1  and  l2  are parallel...

 

m∠2  =  m∠1 + m∠3          Imagine "sliding over"  l2  onto  l1 to see why this is.

 

                                         The problem says that  m∠1 = 50°  .

 

m∠2  =   50°  + m∠3          l1  and  l2  are parallel, and  m2  is perpendicular to  l2  .

 

                                          So... m2  is perpendicular to l1 . This means  m∠3 = 90º  .

m∠2  =   50°  +  90º

 

 

m∠2  =  140°

 Aug 1, 2017
edited by hectictar  Aug 1, 2017
edited by hectictar  Aug 1, 2017
 #2
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how did u post a priority question???

 Aug 2, 2017
 #3
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share the link on social media! smiley

Guest Aug 2, 2017

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