Question

In the given figure, AB || CD, find the value of x.​

Answer 1

Answer:

28°

Step-by-step explanation:

∠BAE = ∠DFE = 48° [Corresponding angles are equal]

∠FCE + ∠FEC = ∠DFE  [Ext. ∠ = sum of two opposite interior ∠s]

or, 20° + x = 48°

or, x = 48° - 20°

or, x = 28°

Answer 2

Answer:

ab//cd(given)

angle 48=angle afc (alternate interior angles)

angle afc+angle cfe =180( linear pair)

but angle afc is = 48 angle

therefore

48+ angle cfe=180

angle cfe=180-48

angle cfe=132

angle cfe+x+angle ecf= 180 ( angle sum property)

132+x+20=180

152+x=180

x=180-152

x=28