Question

In the given figure, AD divides angleBAC in the ratio
1 : 3 and AD = DB. Determine the value of x.
40°
E
108°
X х
В B.
D
C С​

Answer 1

AnSweR

hey!!

AD divides angle BAC in the ratio 1 : 3

So , let angle BAD = y and angle DAC = 3y

Now ,

y + 3y + 108 = 180

4y = 72

y = 18

Now ,

Since AD = BD ,

therefore , angle BAD = angle ABD = y = 18

angle ADC = 2y = 36

therefore , in ∆ ADC.

x + 36 + 54 = 180

X = 90°

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