Question

The angles of the quadrilateral are in the ratio 4: 5:10: 11. Find the four angles.

1) 36', 60°, 108", 156
2)48", 60", 120",132
3) 52°, 60', 122, 126'
4) 60°, 60°, 120º 120°​

Answer 1

Let the 4 angles be 4x,5x,10x and 11x

Since Sum of all the angles of quadrilateral is equal to 360°

So,

4x + 5x + 10x + 11x = 360 degrees

30x = 360 degrees

x = 360 degrees / 30

x=12*

4x=4x12*-48"

5x=5x12°-60°

10x=10x12²-120*

11x=11x12°-132

Hope it helps

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