SOLUTION: Lines a and b are parallel. Line c is a transversal. Find the measures of all angles formed by a,b, and c, if: Chapter Reference b one of the angles is with 70° larger than the

Algebra ->  Points-lines-and-rays -> SOLUTION: Lines a and b are parallel. Line c is a transversal. Find the measures of all angles formed by a,b, and c, if: Chapter Reference b one of the angles is with 70° larger than the      Log On


   

Question 1102150: Lines a and b are parallel. Line c is a transversal. Find the measures of all angles formed by a,b, and c, if:
Chapter Reference
b
one of the angles is with 70° larger than the other one.
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


This time you have at least not given any impossible information. But the statement is still sloppy:

"...if one of the angles is with 70° larger than the other one." ???!!!

Each pair of angles formed by one of the parallel lines and the transversal has a sum of 180°; and one is 70° more than the other:

x%2By+=+180
y+=+x%2B70
x+%2B+x%2B70+=+180
2x%2B70+=+180
2x+=+110
x+=+55
Some of the angles are 55°; the others are 55°+70° = 125°.