SOLUTION: find the value of each variable the diagram shows a large x the left angle shows 3x+8 the right angle shows 5x-20 and the bottom angle shows 5x+4y

Algebra ->  Geometry-proofs -> SOLUTION: find the value of each variable the diagram shows a large x the left angle shows 3x+8 the right angle shows 5x-20 and the bottom angle shows 5x+4y      Log On


   



Question 1039593: find the value of each variable the diagram shows a large x the left angle shows 3x+8 the right angle shows 5x-20 and the bottom angle shows 5x+4y
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical angles are congruent. Your "left" and "right" angles are of equal measure, so 5x-20=3x+8.


The sum of ALL FOUR angles is 360 degrees, so....,
but what you need next is that your "bottom" angle and your "right" OR "left" angle are supplementary, meaning their sum is 180 degrees. TWO of them; NOT the three of them.
Arbitrarily picking one, 3x%2B8%2B5x%2B4y=180, and you would have already solved for x.