Question

In the given figure , AC = EC and AB || ED. The value of x =
units.
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Answer 1

Answer:

Triangles ∆ABC and ∆DCE are congruent as

• Angle ACB = Angle DCE,
• AC = CE
• Angle A= Angle E (Since AB and DE are parallel and considering AE as transversal on them)

So AB = DE

$x + 10 = 2x - 5 \\ 10 + 5 = 2x - x \\ x = 15$

Answer 2

Answer:

15 units.

Step-by-step explanation:

In ∆ABC and ∆ EDC:-

AC = EC (given)

/_ ABC = /_EDC ( alternate interior angle)

/_ BAC = /_DEC ( alternate interior angle)

So, ∆ABC ≅ ∆ EDC

So, AB = DE (CPCT)

So, x+10 = 2x -5

So, 2x -x = 10+5

So, x = 15 units.