If in the given figure, ∠ACB + ∠

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If in the given figure, ∠ACB + ∠BAC = 70°, ∠BDE = 45° and ∠BCE = 25°; then the marked angle ∠CED is?

Options:

95°

115°

45°

140°

Correct Answer:

140°

Explanation:

∠CED = ?

∠CBD = ∠CAB + ∠ACB = 70° (exterior angle)

∠BCE = 25°

∠CTD = 70° + 25° = 95°

∠CED = ∠ETD + ∠EDT = 95° + 45° = 140°