Statements Reasons

1. BD 1 BC

1.

Given

2.

2. ZDBC is a right angle

3. mZDBC = 90°

3. Def. of a right angle

4. mZDBE + ZEBC = mZDBC

Angle addition postulate

Transitive

5. mZDBE + MZEBC = 90°

5.

6. ZABD = ZDBE

6.

7. m ZABD = mZDBE

7.

8. MZABD + m_EBC = 90°

8.

9. ABD and EBC are complementary

9. Def. of complementary

45.3592

step-by-step explanation:

the first one, all those points on the line just make a strait line.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.