Question

given that Line AB is parallel to DC find the values of the unknown in following figures​

Answer 1

Answer:

b = 59° , c = 38° and d = 83°

Step-by-step explanation:

∵, the ∠ADC and  ∠DCB are supplementary

 and lines AB and CD are parallel

∴, ABCD is a parallelogram

hence,

                           b + b = 118°  ( opposite angles of a parallelogram are equal )

                                 b =  59°

and,                     c + c = 76° ( opposite angles of a parallelogram are equal )

                                 c = 38°

and,              b + c + d = 180°

             59° + 38° + d = 180°

∴,                              d =  83°

Hope you like my answer.

Thank you.

Answer 2

$hey \: mate \: this \: is \: your \: answer \: b= 59°, c=38° and d= 83°$

Given, AB||DC
as AB is parallel to DC, this is a parallelogram
in parallelogram, opposite angles are equal.
so A=118°, B=76°
A=2b => b= 118°/2,
=> b=59°
B=2c => c=76°/2
=> c=38°
In triangle AEB,
b+d+c=180°
59°+38°+d=180°
d=180°- 97°
d=83°
so these are unknown values b= 59°, c=38° and d= 83°.
$hope \: it \: helps \:$
$pls \: mark \: me \: as \: brainlist$