Question

in the given figure ab is parallel to CD find the value of x

Answer 1

Solution :

i ) Given AB // CD , and AD is the

transversal .

<EDC= <BAD = 57° ---( 1 )

[ Alternate angles ]

ii ) In ∆CDE ,

<C + <EDC + x = 180°

[ angle sum property ]

30° + 57° + x = 180°

=> 87° + x = 180°

=> x = 180° - 87°

x = 93°

••••

Answer 2

hey mate...
given that AB is parallel to CD
so angle ABE = angle EDC
angle EDC = 57°
now in triangle ECD
angle DEC + EDC + ECD = 180°
57° + 30° + x = 180°
x = 180- 87°
x = 93°

HOPE THIS HELP YOU ☺☺☺