Answer:
1. Angle 1 and 3 are vertical angles because they are formed by the same two vectors and are on opposite sides.
2. Supplementary angles are angles whose sum equals 180, so they fall on a straight line. There are multiple sets of supplementary angles in this figure:
1 and 2
2 and 3
3, 4, and 5
1, 4, and 5
3. Complementary angles are angles whose sum is equal to 90. Set up and equation and solve:
x+y=90
*Plug in known values*
52.95+y=90
*Subtract 52.95 from both sides*
y=37.05
4. Vertical angles are congruent to each other, meaning they are equal. Therefore, if angle m is 78 1/9, then angle p is the same.
Explanation: