A conjecture and the two-column proof used to prove the conjecture are shown. Match the expression or phrase to each statement or reason to complete the proof?

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1 Answer
Oct 22, 2016

1. m1+m2=180

Angles are said to be supplementary if they sum to 180

2. Given

This is the second statement of the given information.

3. Definition of angle bisector

An angle bisector is a line, ray, or line segment that divides an angle into two equal parts. Depending on the teacher or work, it may also be prudent to add that 2 and 3 are the angles formed by the angle bisector BD

4. m1+m3=180

The substitution property of equality allows us to take two equal values and use them interchangeably in equations. In this case, we are substituting the equality in step 4 into the equation in step 2.

5. Definition of supplementary

See 1.