Question

In the given figure, AD divides ZBAC in the ratio
1:3 and AD = DB. Determine the value of x.
E
108°
X х
B
D
С​

Answer 1

Step-by-step explanation:

B

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(05)

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B

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OR

Answer 2

Answer

hey!!!

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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