please help asap!!! i really don't understand this. i would like an explanation on how you got the answer. NO LINKS PLEASE!!!!!!

Answer:
Step-by-step explanation:
One of the things you should keep in mind about parallel lines is that there are 8 angles in this configuration.
4 are equal to one value
and 4 other angles which are the supplements to the first four. If you know the value of one of the 8 angles, you know the value of the other seven.
So angles (8) 6 4 and 2 are all 82 degrees.
Angles 1 3 5 7 and all equal to 180 - 82 = 98
Number 8 is given as 82. It's the red number.
number 6 is vertically opposite number 8 so those two are equal
Number 6 is an alternate interior angle to 4. Those two are equal.
Number 2 is number 4s vertically opposite angle. The others are all done somewhat the same way.