Question

24. In Fig. 8,120, arms BA and BC of angle ABC are respectively parallel to arms ED and EF of
angle DEF Prove that angle ABC = angle DEF.​

Answer 1

Step-by-step explanation:

Given that

AB||DE and EC||EF

To prove: ABC=DEF

Construction: produce BC to X such that it intersects DE and M

Proof:since AB||DE and BX is the transversal

Therefore,

ABC=DMX(corresponding angle(i)

Also,

BX||EF and DE is transversal

Therefore,

DMX=DEF(corresponding angle)(ii)

From (i)(ii) we get

ABC =DEF

Hence,prove

Answer 2

Answer:

Hence Proved

ABC=DEF

Step-by-step explanation:

Given that

AB||DE and EC||EF

To prove: ABC=DEF

Construction: produce BC to X such that it intersects DE and M

Proof:since AB||DE and BX is the transversal

Therefore,

ABC=DMX(corresponding angle(i)

Also,

BX||EF and DE is transversal

Therefore,

DMX=DEF(corresponding angle)(ii)

From (i)(ii) we get

ABC =DEF

Hence, proved