Question

In the given figure (Fig. 4a) if AB = BC and angle A = angle C then find the value of x.
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Answer 1

Answer:

x = 75 degrees

Step-by-step explanation:

Applying angle sum property in Triangle BAD

=> Angle A + Angle B + Angle BDA = 180 degrees

=> Angle A + 55 + 75 = 180

=> Angle A = 180 - 55 - 75

=> Angle A = 180 - 130 = 50 degrees

Now, Angel A = Angle C (given)

Therefore, Angle C = 50 degrees

=> Applying angle angle sum property in Triangle BEC

=>Angle C + Angle B + x = 180 degree

=> 50 + 55 + x = 180

=> x = 180 - 105

So, x = 75 degrees

Answer 2

Answer:

hi Arman Sachdeva ....pls refer to attachment given below

Step-by-step explanation:

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