Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If the given figure, ∠ACB + ∠BAC = 80°;∠BDE = 35°; ∠BCE = 45°, then the marked angle ∠CED is : 

Options:

150°

120°

160°

135°

Correct Answer:

160°

Explanation:

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