Question

(x + 19)
А
12. In the adjoining figure, AE || BC. With the help of the given information find the
value of x and y
Hint: ZDAE = ZABC = x + 19 = y - 11 = x - y = - 30
2x + y +y - 11 *x + 11 = 180 = 3x + 2y = 180...(i), Solve (1) and ()].
E
(2x + y)
AY 11°
(x+11)
B
Multiple Choice Questions (MCQs)​

Answer 1

As AE = BC and AE || BC

So if a line will be drawn parallel to AB from E, the line EC will be pass through C and AB=EC

And parallelogram will be formed.

and in parallelogram opposite angels are congruent.

So,

∠BAE=∠BCE=102

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And AB=EC=CD=ED

So, ECD is equilateral triangle and all the three angle will be equal.

∠ECD=60

∘

So, ∠BCD=∠BCE+∠ECD=102

∘

+60

∘

=162

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Answer = B 162

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