As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.
What are parallel lines?
Parallel lines are coplanar straight lines that do not intersect at any point.
We have,
Parallel lines L and M ,
Transversal line N,
[tex]\angle 2 =125^0[/tex], [tex]\angle 5 =55^0[/tex]
Now,
Using the Parallel lines properties,
- Angles [tex]1\ and\ 3[/tex] are vertical angles - True.
- The value of angle [tex]7\ is\ 125[/tex] degrees - False.
- Angles [tex]1\ and\ 6[/tex] are alternate interior angles - False.
- Angles [tex]3\ and\ 5[/tex] are alternate interior angles - True.
- Angles [tex]4\ and\ 8[/tex] are corresponding angles - True.
- The value of angle [tex]5\ is\ 55[/tex] degrees - True.
- Angles [tex]1\ and\ 7[/tex] are alternate exterior angles - True.
- Angles [tex]6\ and\ 8[/tex] are corresponding angles - False.
- Angles [tex]1\ and\ 6[/tex] are supplementary angles - False.
- Angles [tex]4\ and\ 8[/tex] are supplementary angles - False.
Hence, we can say that As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.
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