Question

answer this question with explanation.

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Answer 1

Answer:

3 : 1 (Option 1)

Step-by-step explanation:

We know that,

Angles opposite to equal sides are equal.

So, In triangle ABC,

AB = BC

=> Angle BAC = Angle ACB -------------(1)

In triangle ACD,

AC = CD

=> Angle CAD = Angle ADB   --------------(2)

By observing the figure we can sort out that Angle ACB = Angle CAD + Angle ADB = 2 ( Angle ADB)  ---------------(3)

Because a exterior angle of a triangle is equal to the sum of two opposite interior angle.

RATIO:

Now, Angle BAD / Angle ADB

=> (Angle BAC + Angle CAD) / Angle ADB

=> (Angle ACB + Angle ADB) / Angle ADB      [From (1) & (2)]

=> (2 ( Angle ADB) + Angle ADB) / Angle ADB   [From (3)]

=> (3 ( Angle ADB) )/ Angle ADB

=> 3 : 1

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