Question

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

Answer 1

Answer:

57=angle ADC (alternate interior Angle)

x+57+30=180(angle sum property)

x=180-87

x=93

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Answer 2

Step-by-step explanation:

angle BAD = angle ADC = 57°

( reason : interior alternate angles are equal since it's given that AB is parallel to CD )

Now,

In triangle DEC :

angle D = 57° , angle E = x

angle C = 30°

57° + x + 30° = 180°

( reason : sum of angles of a triangle is 180° )

therefore,

x = 180° - 87°

= 93°