In the given figure, AC = CE and AB ∥ ED. The value of x is ___ units.
A
15
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B
20
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C
25
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D
30
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Solution
The correct option is A 15 In ΔABC and ΔEDC,
AC = CE (given)
Also, AB∥DE and AE is a transversal. ⇒∠BAC=∠DEC [alternate interior angles] ∠ACB=∠ECD [vertically opposite angles] ∴ΔABC≅ΔEDC (ASA congruence criterion) ⇒AB=DE (CPCT) ⇒x+10=2x−5 ⇒x=15 units