Question

find the value of x in the given figure​

Answer 1

Ans:- Given:-

A = 35°

B = 30°

E = 35°

To find,

x = ?

Solution:- In triangleABC

=> A + B+ACB = 180°(angle sum property).

=> 35° + 30° + ACB = 180°

=> ACB = 180 - 65

ACB = 115°.

Now,

=> ACB + ECD = 180° (by linear pair)

=> ECD + 115° = 180°

=> ECD = 65°

Again, In triangle CED

=> C +E+CDE = 180° (angle sum property)

=> 65° + 35° + CDE = 180°

=> CDE = 80°

Now,

=> x + ECD = 180° (by linear pair).

=> x + 65° = 180°

=> x = 115°

here is your answer

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