document.write( "Question 1102152: One of the same side angles of two parallel lines is three times the other angle. Find all angles. \n" ); document.write( "

Algebra.Com's Answer #716821 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "One of the same side angles of two parallel lines is three times the other angle. Find all angles.
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document.write( "The same side angles at two parallel lines and a transverse are EITHER supplementary (when they sum up to 180 degs),  OR  congruent.\r\n" );
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document.write( "In your case the angles are different, so they are supplementary.\r\n" );
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document.write( "Let x be the measure of one angle; then the other is 3x.\r\n" );
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document.write( "They sum up to 180:  x + 3x = 180  ====>  4x = 180  ====>  x =  = 45.\r\n" );
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document.write( "Answer.  The angles are 45 degs and 135 degs.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On parallel lines and the angles formed at a transverse line see the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Parallel lines\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve problems on parallel lines - Examples \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Basics of angles. Supplementary, complementary angles. Vertical angles. Parallel lines\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in GEOMETRY
\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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