Use the diagram below for questions 1-4.
1. < 1 and < 2 are adjacent angles.
true or false
2. < 3 and < 2 are complementary.
true or false
multiple choice
3. < 2 and < 3 are angles.
complementary
vertical
right
supplementary
4. < 2 and < 4 are angles.
complementary
vertical
right
supplementary
5. find mabc=5x and m 5 degrees
25 degrees
30 degrees
50 degrees

Part 1:
two angels are said to be adjacent angles if the two angles have a common vertex and a common side.
the vertex of an angle is the endpoint of the rays that form the sides of the angle.
from the given diagram, < 1 and < 2 have the same endpoint and share a common side hence they are adjacent.
therefore, the correct answer is "true"
part 2:
two angles are said to be complementary, if the sum of the angles is 90 degrees.
from the diagram it can be seen that < 3 and < 2 makes up a straight line and hence, the sum is not 90 degrees.
thus, < 3 and < 2 are not complementary.
therefore, the correct answer is "false"
part 3:
from the diagram it can be seen that < 3 and < 2 makes up a straight line and hence, the sum is 180 degrees.
when the sum of two angles is 180 degrees, the angles are said to be supplementary.
therefore, < 3 and < 2 are suplementary.
part 4:
two angles are said to be vertical when they they are opposite each other of intersecting lines. they also share the same vertex.
from the diagram, it can be seen that < 2 and < 4 share the same vertex and are opposite each other of intersecting lines.
therefore, < 2 and < 4 are vertical lines.