Question

Q In the given figure, find the value of x: NO 10 4. (x-20) (x+3) (x+7)Е В F a) 40° b) 50° c) 60° d) 80°​

Answer 1

Answer:

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

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