Question

THE ANGLES OF QUADRILATERAL ARE IN RATIO 2:5:8:9, FIND ALL THE ANGLES OF THE QUADRILATERAL.

3 points

30, 75, 120,145

30, 75,110,135

30, 75, 120, 135

30,75,100,155

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Answer 1

Let the angles of the quadrilateral be 2x, 5x, 8x and 9x

(Sum of angles of a quadrilateral = 360°)

Now,

ATQ

=> 2x + 5x + 8x + 9x = 360°

=> 24x = 360°

=> x = 360°/24

=> x = 15°

So the angles will be,

2x = 2×15 = 30°

5x = 5×15 = 75°

8x = 8×15 = 120°

9x = 9×15 = 135°

Thus Option: (C) is correct