SSC CHSL 2020 PYQ — Question 69

SSC CHSL - 14th October 2020 - Shift 2 • Quantitative Aptitude • Q69

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

If ∠CDE = 85o; ∠DCF = 94o, then the value of ∠EAB is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 179o.

Understanding/Application

From the figure-

∠CDE + ∠CDA = 1800 (Linear pair)

∠CDA = 180 - 85

∠CDA = 950

∠DCF + ∠DCB = 1800 (Linear pair)

∠DCB = 180 - 94

∠DCB = 860

In the quad. ABCD -

∠ABF + ∠DCB + ∠CDA + ∠EAB = 3600

∠ABF + ∠EAB = 360 - 86 - 95

∠ABF + ∠EAB = 1790