Question

show that AB is parallel to EF​

Answer 1

hey mate here's ur answer

we know that

angle BAC is 57°

and angle ACD=angle ECD+ angle ECA

=35°+22°=57°

here angle BAC = angle ACD

they form alternate interior angles

hence we can say that

AB is parallel to CD

now...

finding exterior angle to 35°

which is 180-35=145°

so extend c to a point G and the angle ECG = angle CEF

so 145=145 that is alternate interior angles

so CD is parallel to EF

as CD is also parallel to AB

therefore AB is parallel to EF

hence proved

MARK AS BRAINLIEST PLZ ❤️❤️

Answer 2

Explanation :-

angle BAC = angle DCA ( interior alternate angle are equal ) ,

so , AB || CD .------------1

now , angle EFC + angle DCE = 180° ( sum of adjacent angle is equal to180°)

so , EF||CD --------------2

from 1 and 2 .

=> AB || EF .

hence proved .