By using what we know about intersecting lines, we will see that the correct options are:
How to get the measures?
In an intersection of two lines, if two angles are adjacent, then their measures must add to 180°. And if the angles are not adjacent, then the angles have the same measure.
a) 1 and 4 are not adjacent, so these angles have the same measure.
so if m<1 = 43, then m<4 = 43
The correct option is B.
b) 1 and 5 are equivalent (where we assume that JL and MP are parallel, so all the angles formed in the two intersections are equal).
Then if m<1 = 50, m<5 = 50.
So the correct option is A.
c) The corresponding angles occupy equivalent positions.
For example:
- 2 and 6 are corresponding.
- 3 and 7 are corresponding
- 4 and 8 are corresponding.
etc.
The correct option is B.
If you want to learn more about angles you can read:
https://brainly.com/question/17972372