SOLUTION: If L is parallel to M, the measure of angle 7 = 6x + 4, and the measure of angle 15 = 14x - 4, calculate the measure of angle 13. -58 degrees -171 degrees -9 degrees -122

Algebra ->  Angles -> SOLUTION: If L is parallel to M, the measure of angle 7 = 6x + 4, and the measure of angle 15 = 14x - 4, calculate the measure of angle 13. -58 degrees -171 degrees -9 degrees -122      Log On


   

Question 1040948: If L is parallel to M, the measure of angle 7 = 6x + 4, and the measure of angle 15 = 14x - 4, calculate the measure of angle 13.
-58 degrees
-171 degrees
-9 degrees
-122 degrees
I got 122 degrees. Can you please write an explanation as to why it is correct? I'm very bad at math. Thanks in advance!
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Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Sum of angles 7 and 15 is 180 degrees.
6x%2B4%2B14x-4=180

Angle 13 and angle 7 are corresponding and are in this case, congruent (same angle measure).