Question

CD intersects the line AB at F , ∠CFB = ∠EFA = ∠AFD. Find the measure of (i) ∠EFC (ii) ∠BFD​

Answer 1

Step-by-step explanation:

use linear pair on line AB to find angle EFC and then use the vertically opposite angle property to find angle BFD as it is vertically opposite to angle AFE whose measure you will find while using linear pair to finding angle EFC

and if you don't know what linear pair is then let me tell you it is :

A linear pair is a pair of adjacent angles formed when two lines intersect.

so here:

angle AFE+ angle EFC+ angle CFB= 180 [linear pair]

Then,

angle CFB=angle BFD [vertically opposite angles]