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In Fig. 10.25, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD.

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Consider the figure

Given

AB = AC,DB = DC and given to find the ratio

∠ABD = ∠ACD

Now, ΔABC and ΔDBC are isosceles triangles since AB = AC and DB = DC respectively

⇒ ∠ABC =∠ACB and ∠DBC = ∠DCB [angles opposite to equal sides are equal]

Now consider,

∠ABD : ∠ACD

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