SOLUTION: In the diagram below, line l is parallel to line m. What is the measure of angle BAC? Heres the image : http://images.learnzillion.com.s3.amazonaws.com/batches%20218%20and%201590/

Algebra ->  Angles -> SOLUTION: In the diagram below, line l is parallel to line m. What is the measure of angle BAC? Heres the image : http://images.learnzillion.com.s3.amazonaws.com/batches%20218%20and%201590/      Log On


   

Question 778389: In the diagram below, line l is parallel to line m. What is the measure of angle BAC?
Heres the image : http://images.learnzillion.com.s3.amazonaws.com/batches%20218%20and%201590/lowercase_resized/02181215s1.jpg
Answer choices :
112
143
68
75
Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let point D be a point that is on line L, but it is to the left of point A

The angle BAD is composed like this

m < BAD = m < BAC + 37

since lines L and M are parallel, this means that angle BAD and the 105 degree angle are equal (they are alternate interior angles), so this means

m < BAD = m < BAC + 37

105 = m < BAC + 37

105-37 = m < BAC

68 = m < BAC

m < BAC = 68 degrees