In the given figure, chords AD and BC of

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, chords AD and BC of the cirle, are extended to E and F, respectively.

If ∠CDE = 105°, ∠DCF = 65°, then the value of ∠ABF and ∠EAB is?

Options:

105°

170°

120°

36°

Correct Answer:

170°

Explanation:

∠ABF = ∠CDE

∠EAB = ∠DCF

(Exterior angle theorem)

∠ABF + ∠EAB = 105° + 65° = 170°