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Question

In the given figure, value of x is .........
313985.png
  1. 34o
  2. 45o
  3. 64o
  4. 109o

A
109o
B
45o
C
64o
D
34o
Solution
Verified by Toppr

In triangle ΔABC,
A+ABC+BCA=180o
34o+ABC+30o=180o
ABC=116o
So, ABC+CBD=180o
116o+CBD=180o
CBD=180o116o
CBD=64o
Now use remote interior angle theorem.
So, X=CBD+D=64o+45o=109o

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