document.write( "Question 1041055: if lines L and M are parallel what is the measure of angle 5 i will try to diagram it as best as i can but some of the numbers get moved when i post it so i will tell you where they go when i post it the picture shows 2 parallel lines with a transverse going threw them it looks like this the slashes will represent the transverse line\r
\n" ); document.write( "\n" ); document.write( "__________3/4________L
\n" ); document.write( " 2/5
\n" ); document.write( "__________1/6________M
\n" ); document.write( " 38 deg/7
\n" ); document.write( "when posted the numbers 2 and 5 go directly below the numbers 3 and 4
\n" ); document.write( "the 38 degrees and the number 7 go directly below the numbers 1 and 6
\n" ); document.write( "thats the only way i know how to write the diagram \n" ); document.write( "

Algebra.Com's Answer #656297 by KMST(5328) $\"\"$ $\"About$

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Lines L and M are parallel lines,
\n" ); document.write( "intersected by the slanted line that we call a transversal.
\n" ); document.write( "The angle labeled as $\"2\"$ is what you would get if you move up the angle measuring $\"38%5Eo\"$ sliding it along the slanted line.
\n" ); document.write( "So the angle labeled $\"2\"$ also measures $\"38%5Eo\"$
\n" ); document.write( "Those two angles, on the same position are called corresponding angles,
\n" ); document.write( "and have the same measure.
\n" ); document.write( "The angles labeled $\"1\"$ and $\"3\"$ are another pair of corresponding angles.
\n" ); document.write( "We can find their measure , because they are supplementary to the angles labeled $\"38%5Eo\"$ and $\"2\"$ respectively.
\n" ); document.write( "So the measure of the angles labeled $\"1\"$ and $\"3\"$ is
\n" ); document.write( " $\"180%5Eo-38%5Eo=142%5Eo\"$ .
\n" ); document.write( "The other angles measure either $\"38%5Eo\"$ or 142^o}}} .
\n" ); document.write( "The angle labeled $\"4\"$ is supplementary to the angle labeled $\"3\"$ ,
\n" ); document.write( "just like angle $\"2\"$ is. So, angles $\"2\"$ and $\"4\"$ have the same measure, $\"38%5Eo\"$ ,
\n" ); document.write( "because they are both supplementary to angle 3,
\n" ); document.write( "Pairs of angles like $\"2\"$ and $\"4\"$ , made from the same two lines,
\n" ); document.write( "but sharing only their vertices, are called vertical angles.
\n" ); document.write( "Angle $\"6\"$ measures $\"38%5Eo\"$ because it forms a pair of vertical angles with the angle labeled $\"38%5Eo\"$ .
\n" ); document.write( "By the same reasoning, angles $\"3\"$ and $\"5\"$ , forming a vertical pair,
\n" ); document.write( "have the same measure, $\"142%5Eo\"$ , as we had found for angle $\"3\"$ .
\n" ); document.write( "Similarly, angle $\"7\"$ , also measures $\"142%5Eo\"$ ,
\n" ); document.write( "like its vertical angle, angle $\"1\"$ . \n" ); document.write( "

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