Question

In the given figure, AD divides angleBAC in the ratio 2:3 and AD = DB. Determine the value of x.​

Answer 1

Step-by-step explanation:

AD divides ∠ BAC in the ratio 1 : 3.

So, let ∠BAD=y and ∠DAC=3y

Now,

y+3y+108=180

4y=72

y=18

Now, since AD = BD, therefore,

∠BAD=∠ABD=y=18

∠ADC=2y=36

Therefore, in △ADC,

x+36+54=180

x=90 o