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SSS Construction

In the given ...

Question

In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is

(a) 52°

(b) 76°

(c) 156°

(d) 104°

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Solution

We are given that;

, is isosceles

And

We are asked to find angle x

From the figure we have

Therefore,

Since, so

Now

Hence (d) .

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Similar questions

In the figure, ABC is isosceles triangle whose side AC is produced E. Through C, CD is drawn parallel to BA. The value of x is

$△ A B C$ is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of $∠ D C B$ ?

△ A B C

A

B C

D

C

C E

D A

B A

E

△ A C E

△ A B C

A B = A C

A B

A C

D

E

B D = C E

B E = C D

∠ B C D

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