SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 77 of 100

Marks: +1, -0

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

15, 130
15, 125
35, 40
30, 150

Validate

Solution:

(2)

The point of intersection of internal bisectors of angles of a triangle is in-centre.
∠A = 70°; ∠B = 80°
∴ ∠C = 180° – (70° + 80°) = 30°
∠ACB = 2x° = 30°
⇒ x = 15° ∠BDC = 180° –

{∠B}/ 2

–

{∠C}/ 2

= 180° –

80°/ 2

–

30°/ 2

= 180° – 40° – 15° = 125° = y

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