Given m ​angle ABC and m ​angle DEF are supplementary and ​m angle ABC and m ​angle GHJ are​ supplementary, what can you conclude about the​ angles?

Question

A. m angleDEF+m angleGH=180

B . m angleABC=m angleDEF and m angleABC=m angleGHJ

C. m angleDEF=m angleGHJ

D. m angleDEF m angleGHJ=90

Answer 1

angle ABC and ​angle DEF are supplementary

means ABC+DEF=180

Subtract ABC from both sides

DEF=180-ABC

angle ABC and ​angle GHJ are​ supplementary

means ABC+GHJ =180

Subtract ABC from both sides

GHJ = 180-ABC

Since 180-ABC=180=ABC

then DEF=GHJ

This is called the Transitive Property