SOLUTION: The question involves supplementary angles < ABE = 5x (after the x is a degree sign) < BDE = (17x-18) (after the this problem is another degree sign What is the solution

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Question 98111This question is from textbook Holt Geometry Texas
: The question involves supplementary angles
< ABE = 5x (after the x is a degree sign)
< BDE = (17x-18) (after the this problem is another degree sign

What is the solution to the problem? I have no clue on this one.
Thank you. This question is from textbook Holt Geometry Texas

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
SUPPLEMENTARY ANGLES ADD UP TO 180 DEGREES. THEREFORE THESE TWO ANGLES MUST ADD UP TO 180 DEGREES THUS
5X+17X-18=180
22X=180+18
22X=198
X=198/22
X=9
5*9=45 FOR THE SMALLER ANGLE.
17*9-18=153-18=135 FOR THE LARGER ANGLE.
PROOF
45+135=180
180=180