Question

the four angles of quadrilateral are in the ratio 1:3:7 find the greatest angle​

Answer 1

Answer:

$\huge\rm\underline\purple{Solution :-}$

Here we go

Let the angles be x, 3x, 7x and 9x

we know that sum of all angles of a quadrilateral is 360°

x + 3x + 7x + 9x = 360°

20x = 360

x = 360/20

x = 18°

3x = 3×18 = 54°

7x = 7×18 = 126°

9x = 9×18 = 162°

Hence, the greatest angle is 9x or 162°

Hope it helps

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Answer 2

Step-by-step explanation:

Let the angles be 1x , 3x , 7x respectively...

We know,

Sum of angles of a quadrilateral = 180°

1x + 3x + 7x = 180°

11 x = 180°

x = 180/11

x = 16°

Now,

1 x = 1 × 16 = 16°

3x = 3 × 16 = 48

7x = 7 × 16 = 112°

Therefore, the greatest angle is 7x

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