SOLUTION
Step 1 :
In this question, we are told that line A is parallel to line B.
m < 2 : = 63 degrees
m < 9 : = 105 degrees
Step 2 :
From the diagram , we can see that :
m < 3 = m < 8 ( CORRESPONDING ANGLES ARE EQUAL )
But m < 8 + m < 9 = 180 degrees ( Angles on a straight line )
m < 8 + 105 = 180
m < 8 = 180 - 105
m < 8 = 75 degrees
Step 3 :
Since m < 8 = 75 degrees , then
m < 3 = 75 degrees ( CORRESPONDING ANGLES ARE EQUAL ).
CONCLUSION :
The measure of m < 3 = 75 degrees.
