In the given abc, abd = 40o, ab = bc and ad is the bisector of bac. The measure of adc is
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Applying cosine rule on ∠BDA, we get:
c2=q2+p2−2pqcos45o
Applying sine rule on △BDA, we get:
csin45o=psinx
Applying sine rule on △ADC, we get:
psin15o=qsin30o
Since only the ∠x needs to be found, without loss of generality we can assume c=1
Now we have enough equations to find the value of x.
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Answer:
Step-by-step explanation:
find value of x
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