LIC AAO Model Paper 5

Question : 41 of 160

Marks: +1, -0

The angles of a quadrilateral are in the ratio of 2 : 4 : 7 : 5 The smallest angle of the quadrilateral is equal to the, smallest angle of a triangle. One or the angles of the the triangle is twice the smallest angle of the triangle. What is the second largest angle ofthe triangle?

80°
60°
120°
Cannot be determined
None of these

Validate

Solution:

2x + 4x + 7x + 5x = 360°
⇒ 18x = 360°
⇒ x =

{360°}/{18}

= 20°
∴ Smallest angle of the triangle = 2 × 20° = 40°
Second angle = 2 x 40°
= 80°
∴ Required angle = 180° - 80° - 40°
= 60°

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