Respuesta :

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.

Hope this helps!!

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.

Step-by-step explanation:

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