Question

In figure if AE || DC and AB = AC, find the value of ∠ABD.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :

• AE || DC and AB = AC

To find :

•  the value of ∠ABD

 

Solution :  

• From figure we have, ∠EAF  = 70°

 

∠EAF = ∠BCA [Corresponding angles]

∠BCA = 70°…(1)

We have, AB = AC, then

∠CBA = ∠BCA [Angles opposite to equal sides are equal]

∠CBA = 70°

[From eq 1]

Now,

∠ABD + ∠CBA = 180° [Linear pair]

∠ABD + 70° = 180°

∠ABD = 180° - 70°

∠ABD = 110°

Hence , the value of ∠ABD is 110°.