# The angles of a quadrilateral are in the ratio of 2:4:7:5. The smal

| 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 the triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle?

A. 80

B. 60

C. 120

D. 70

### Right Answer is: B

#### SOLUTION

Let angles of the quadrilateral = 2x, 4x, 7x and 5x

2x + 4x + 7x + 5x = 360

18x = 360

x = 20

Smallest angle of quadrilateral = 2x = 2 × 20 = 40

Angles of triangle = 40 (=Smallest angle of quadrilateral)

Another angle of a triangle = 40 × 2 = 80

Required angle = 180 – (80 + 40) = 180 – 120 = 60

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The angles of a quadrilateral are in the ratio of 2:4:7:5. The smal