Question

Complete the proof by filling in the missing reasons for six steps.
Here are some possible reasons: (Note: Not all of these will be used.)


definition of a right angle
division property of equality
addition property of equality
segment addition postulate
definition of linear pairs
linear pair property
Substitution Property of equality
definition of supplementary angles

Answer 1

Given: m<1 = m<2
And points D, F, and E are colinear
Prove: 


(picture Below)


Statements Reasons
m<1 = m<2 Given
<1 and <2 form a linear pair Definition of linear pair.
<1 is supplementary to <2. b.
m<1 + m<2 = 180 Degrees c.
m<1 + m<1 = 180 Degrees d.
2(m<1) = 180 Degrees Definition of like terms
m<1 = 90 Degrees e.
<1 is a right angle. f.

Answer 2

Prove: