Question

In the given figure AB||CG and CD||FE.Find the value of GFE, when ABC=40° and BCA=65°

Answer 1

Bonjour ❤️

_______________________________

GIVEN :-

AB || CG , CD || FE

angle ABC = 40°

angle BCA = 65°

TO FIND :- angle GFE (x)

SOLUTION :-

In ∆ ABC

=> angleA + angleB + angleC = 180°

=> angle A + 40° + 65° = 180°

=> angle A = 180 - 105°

=> angle A = 75°

now,

angle BAC = angle FCD = 75° ( corresponding angles )

angle FCD = angle GFE = ( corresponding angles )

hence, angle GFE (x) = 75° ..........Ans.

●▬▬▬▬▬ஜ۩۞۩ஜ▬▬▬▬▬▬●

hope it will help you ✌️✌️