Question 1102152: One of the same side angles of two parallel lines is three times the other angle. Find all angles. Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
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One of the same side angles of two parallel lines is three times the other angle. Find all angles.
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The same side angles at two parallel lines and a transverse are EITHER supplementary (when they sum up to 180 degs), OR congruent.
In your case the angles are different, so they are supplementary.
Let x be the measure of one angle; then the other is 3x.
They sum up to 180: x + 3x = 180 ====> 4x = 180 ====> x = = 45.
Answer. The angles are 45 degs and 135 degs.
The referred lesson is the part of this online textbook under the topic
"Basics of angles. Supplementary, complementary angles. Vertical angles. Parallel lines".
Save the link to this online textbook together with its description
Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
