SOLUTION: In the puzzle below… * lines line a and line b are parallel. * lines line c and line d are parallel. * line line d is perpendicular to line line e. Find the m

Algebra ->  Angles -> SOLUTION: In the puzzle below… * lines line a and line b are parallel. * lines line c and line d are parallel. * line line d is perpendicular to line line e. Find the m      Log On


   



Question 395990: In the puzzle below…

* lines line a and line b are parallel.
* lines line c and line d are parallel.
* line line d is perpendicular to line line e.

Find the measures of angles 1–15.
Explanations are needed. Pleas and thankyou

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Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Eh, the only way is to do a bunch of angle chasing. For example, since c || d and d is perpendicular to e, then c is also perpendicular to e, and angle 4 = 30 degrees.

Just use the facts that supplementary angles add up to 180, that opposite angles (e.g. angles 10 and 11) are congruent, and that the sum of the angles in a triangle add to 180 degrees.