If the given figure, ∠ACB + ∠BAC = 80°;∠BDE = 35°; ∠BCE = 45°, then the marked angle ∠CED is :
Answer & explanation
Correct answer: option 3
We have,
∠ACB + ∠BAC = 80o
∠BDE = 35o
∠BCE = 45o
Now, we know that,
∠DBC = ∠ACB + ∠BAC
∠DBC = 80o
∠DBC + ∠BCE = ∠CPD
∠CPD = 80o + 45o = 125o
∠CED = ∠CPD + ∠BDE
∠CED = 125o + 35o = 160o