Question 345899
A linear pair of angles is formed when two lines intersect. Two angles are said 


to be linear if they are adjacent angles formed by two intersecting lines. The 


measure of a straight angle is 180 degrees, so a linear pair of angles must add 


up to 180 degrees. 


Let A = first angle


Let B = second angle


Then A + B = 180 degrees


A = 4B - 5


Replace A in A + B = 180 with 4B - 5.


4B - 5 + B = 180


5B - 5 = 180


5B = 180 + 5


5B = 185


B = 185/5


B = 37 degrees


To find angle A, we go back to A + B = 180 and replace B with 37.


A + B = 180


A + 37 = 180


A = 180 - 37


A = 143 degress


Angle A = 143 degrees


Angle B = 37 degrees