SOLUTION: Solve for X Diagram https://imgur.com/gallery/nUHmueU Thank you very much

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Question 1153024: Solve for X
Diagram https://imgur.com/gallery/nUHmueU
Thank you very much

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
use the rule: Alternate Interior Angles are equal
pay attention to trapezoid made of two parallel lines, all given angles are its exterior angles
two alternate interior angles are equal (on shorter base of trapezoid) will be 4x and 4x%2B8
two alternate interior angles are equal (on greater base of trapezoid) will be 180-5x and 180-%286x-10%29=180-6x%2B10=190-6x
the sum of all angles in trapezoid is 360
so,
4x+%2B+%284x%2B8%29%2B%28180-5x%29%2B%28190-6x%29=360.......solve for x
4x+%2B+4x%2B8%2B180-5x%2B190-6x=360
8x-11x=360-180-8-190
-3x=-18
x=-18%2F-3
x=6