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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
__________3/4________L
2/5
__________1/6________M
38 deg/7
when posted the numbers 2 and 5 go directly below the numbers 3 and 4
the 38 degrees and the number 7 go directly below the numbers 1 and 6
thats the only way i know how to write the diagram
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!  Lines L and M are parallel lines,
intersected by the slanted line that we call a transversal.
The angle labeled as  is what you would get if you move up the angle measuring  sliding it along the slanted line.
So the angle labeled also measures
Those two angles, on the same position are called corresponding angles,
and have the same measure.
The angles labeled  and  are another pair of corresponding angles.
We can find their measure , because they are supplementary to the angles labeled and respectively.
So the measure of the angles labeled and is
 .
The other angles measure either or 142^o}}} .
The angle labeled  is supplementary to the angle labeled ,
just like angle is. So, angles and have the same measure, ,
because they are both supplementary to angle 3,
Pairs of angles like and , made from the same two lines,
but sharing only their vertices, are called vertical angles.
Angle  measures because it forms a pair of vertical angles with the angle labeled .
By the same reasoning, angles and  , forming a vertical pair,
have the same measure,  , as we had found for angle .
Similarly, angle  , also measures ,
like its vertical angle, angle .
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