2 Column Proof

Question

Solve for m<3 in terms of m<1

 

Given:

<1 & <2 are complementary

<2 & <3 are supplementary

 

(< means angle)

Answer 1

 

Statement                                       Reason

 

<1 + <2 = 90                            <1 & <2 are complementary

 

<2 =90 - <1                                I

 

<2 + <3 =180                            <2 & <3 are supplementary

 

<2 =180-<3                               II

 

90-<1 =180-<3                          from I and II

 

<3 -<1 =180-90

<3 =90+<1                                m<3 in terms of m<1