Using this information- find the value of x-A- x-10B- x-20C- x-5D- x-15

The correct option is D x = 15In ABC and EDC, AC = CE ...... (Given) ∠ BAC = ∠ DEC nbsp; nbsp; (Alternate angles) ∠ ACB = ∠ ECD nbsp; nbsp; (Vertical ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

ASA Postulate

Using this in...

Question

In the given figure, AC = CE and AB || ED. Using this information, find the value of x.

x = 10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = 20

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = 15

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D x = 15
In $△ A B C$ and $△ E D C$ ,
AC = CE ...... (Given)
$∠ B A C = ∠ D E C$ (Alternate angles)
$∠ A C B = ∠ E C D$ (Vertically opposite angles)

$∴ △ A B C ≅ △ E D C$ (by ASA congruence criteria)
$\Rightarrow$ AB = DE (CPCT)
$\Rightarrow$ x + 10 = 2x - 5
$\Rightarrow$ x = 15

Suggest Corrections

Similar questions

If $\frac{2 x}{5} = 4$ , the value of x is ___

Q. For the redox reaction

x P_{4} + y H N O_{3} \to H_{3} P O_{4} + N O_{2} + H_{2} O

If $x = \sqrt{5} + 2$ , then find the value of $x - \frac{1}{x}$ .

x + 5 = 25

Solve for the value of x.

\frac{x}{4} = 10

Solve for the value of x.

Join BYJU'S Learning Program

In the given figure, AC = CE and AB || ED. Using this information, find the value of x.

The correct option is D x = 15In △ABC and △EDC, AC = CE ...... (Given) ∠BAC=∠DEC (Alternate angles) ∠ACB=∠ECD (Vertically opposite angles) ∴△ABC≅△EDC (by ASA congruence criteria) ⇒AB = DE (CPCT) ⇒x + 10 = 2x - 5 ⇒x = 15