Answer:
m-1: 31 degrees & m-4: 149 degrees
Explanation:
we can start with im very bad at explaining but will try my best.
Step 1:
look at what you're given and remember the rules and principles of finding angles. so were given m-6. when having parallel lines with a perpendicular line the opposing side of the intercept will be the same. meaning that if m-6 is 149 then its opposing side, m-8, will have the same degree. but we know that with straight lines are 180 degrees so now that we have that out of the way we can move to step 2
Step 2:
you have the given and the rules to go with, so now we will begin to apply it. like i was saying a line is 180 degrees, and when we put a line through that we end up having different degrees. although theres an intercept the line is still 180 degrees. so to find the aligning angle we just have to subtract the given angle by our own knowledge.
180-149=31 this aligns with everything in this. there are only 2 angles necessary. 149 and 31, all we have to do now is plug it in.
M-5: 31 degrees
m-6: 149 degrees
m-7: 31 degrees
m-8: 149 degrees
Step 3:
all those annoying angles we just got through, guess what, all you have to do is apply those same angles with m1-m4
M-1: 31 degrees
M-2: 149 degrees
M-3: 31 degrees
M-4: 149 degrees