Question

In figure 2.27, if line AB || line CF and line BC || line ED then prove that ∠ABC=∠FDE.

Answer 1

SOLUTION:-

GIVEN BY:- line AB || line CF and line BC || line ED.
prove :-
B || ED
AB || CF
then ,
∠ABC = ∠CDE
∠CDE= ∠FDE
Here,
∠FDE = ∠ABC.

■I HOPE ITS HELP■

Answer 2

Answer:

In figure 2.27, if line AB || line CF and line BC || line ED then prove that ∠ABC=∠FDE.

Step-by-step explanation:

AB ║ CF

∠ABC = ∠BCD   - eq 1

BC ║ ED

∠BCD = ∠CDO   ( O is a point on ED opposite to E)

∠CDO = ∠FDE

using these two

∠BCD  = ∠FDE    - eq 2

From eq 1 * Eq 2 equating ∠BCD

∠ABC = ∠FDE

QED

Proved