Question

In the given figure, find the value of x​

Answer 1

Answer:

x=119°

Step-by-step explanation:

∠A+∠B+∠C=180                (A.S.P.)

34°+30°+∠B=180

∠B=180-64

∠B=116°

∠ABC+∠EBD=180             (L.A.)

∠EBD=180-116

∠EBD=64°

∠BED=180-∠EDB-∠EBD

∠BED=180-45-64

∠BED=61°

∠BED+∠DEC=180°

∠DEC=180-∠BED

∠DEC=180-61

∠DEC=119°

Thus, ∠DEC=119° i.e. x=119°

Hope this helps.........

:)