SSC CGL 2019 PYQ — Question 60

The correct answer is Option 3 i.e. 10^o.

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In triangle ABC, we have two triangles ABM & AMC are right-angled triangles

⇒ ∠BAN = ∠NAC (given)

In the triangle ABC, the sum of angles will be given as

⇒ 55^o + 35^o + ∠A = 180^o

⇒ ∠A = 90^o

⇒ ∠BAN = ∠NAC = 45^o

In triangle ANC, the sum of angles will be given as

⇒ 45^o + 35^o + ∠ANC = 180^o

⇒ ∠ANC = 100^o

⇒ ∠ANB = 80^o

In triangle ANM, the sum of angles will be given as

⇒ 80^o + 90⁰ + ∠MAN = 180^o

⇒ ∠MAN = 10^o