Question

In the above figure AB || CD. Also, ∠EAB = 84^o and ∠ECD = 126^o. Then, the value of "x" is

• A. 80^o
• B. 120^o
• C. 150^o
• D. 160^o

Answer 1

The correct option is C

150^o

Draw EF parallel to both AB and CD

∠BAE + ∠AEF = 180^o (consecutive interior angles are supplementary)

∠AEF = 180^o - 84^o = 96^o

Similarly, FEC = 180^o - 126^o = 54^o

Hence x = 96^o + 54^o = 150^o