Question

In the figure,if AB is parallel to CD, find x

somebody help!!

Answer 1

Answer:

70°

Step-by-step explanation:

Join A and C

Now ∵ AB ║ CD

⇒ ∠BAC = ∠DCA = 90°   ··········· (I)

Now observe that Figure DCABE forms a Pentagon.

We know that,

Sum of all angles of pentagon = 540°

⇒ ∠BAC + ∠DCA + ∠ABE + ∠EDC + ∠BED = 540°

⇒ 90° + 90° + 150° + 140° + x = 540°         [ From (1) and Given ]

⇒ x = 540° - 470°

∴ x = 70°

Hope this helps!

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Regards,

Soham Patil.

Answer 2

70 degrees will be the answer