Question

find the value of x and angle EAB​

Answer 1

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Question -

See the above attachment.

Find the value of X and angle EAB.

Solution -

In the above figure -

Angle ACB = 46°

But,

Angle AEB = Angle ACB

Therefore -

Angle AEB = 46°

Angle ABD = Angle AEB = Angle ACB = 46° as AB is the common chord.

Angle AFB = 2 × Angle AEB = 92°

Now, Angle CFB = 180° - Angle AFB = 88°

Now let us consider ∆ CFB

Here,

We know that sum of all angles of a triangle = 180°

=> 88° + 2x = 180°

=> 2x = 92°

=> x = 46°

Now,

In ∆ EAB -

We know that sum of all angles of a triangle = 180°

=> Angle EAB + 46° + x ° = 180°

=> Angle EAB + 46° + 46° = 180°

=> Angle EAB = 180° - 92° = 88°