Transversal line is a straight line that cuts 2 or more lines. The lines may or may not be parallel. If the lines are parallel, then transversals tell us a great deal about the angles.
The transversal line makes angles equals to 900, if the lines are perpendicular.
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Given below explains the transversal and pairs of lines.
Parallel Lines Cut by a Transversal Line
In the above figure, AB and XY are parallel to each other and PQ is a transversal line.
There is a relation between the angles in M and N.
Non Parallel Lines Cut by a Transversal Line
In the above figure, AB and XY are not parallel to each other and PQ is a transversal line.
There is no relation between angles in M and N.
Parallel Lines Cut by a Perpendicular Transversal Line
The perpendicular transversal is a transversal which is perpendicular to the parallel lines and makes all angles equal to 900 .
In the above figure, AB and XY are parallel to each other and PQ is a transversal line. All angles in M and N are equal to 900 .
Identify the missing angles in the following figure.
Given one of the angle of M is 450
From the figure, we can say AB is a straight line,
So, x 0 + 450 = 1800
Subtract 450 on both sides,
x 0 + 450 - 450 = 1800 - 450
x 0 = 1350 .And, angle y0 is same as 450 (Vertical opposite angles)
The left out angle is same as angle x0 .
The angles of M are related to angles of N.
So, the resultant figure is
Identify the specified angle from the following figure:
In the given figure there are no parallel lines.
Given the angle b is 60o.
We know that the angle of a straight line is 1800.
So, a0 + b0 = 1800
a0 + 600 = 1800
Subtract 600 on both sides
a0 = 1200.
=> $\angle$ AMN = 60o and $\angle$ BMN = 120o. (Vertical opposite angles)
Since there is no relation between these two lines, thus we cant find the rest of the angles.
|More topics in Transversal Lines|
|Transversal Line Properties||Transversal Lines and Angles|
|Parallel Lines Cut by a Transversal|
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