Question

In a quadrilateral ABCD. If the all four angles are in the ratio 1:3:7:9 then find the measures of each vertex angle of quadrilateral ABCD .​

Answer 1

Answer:

Angles of the quadrilateral are 18°, 54°, 126° & 162°.

Step-by-step explanation:

Let the angles be 1x,3x,7x,9x

Sum of all the angles = 360°

1x + 3x + 7x + 9x = 360°

20x = 360°

x = $\large{\frac{360}{20}}$

$\large{\boxed{x = 18}}$

Now, substitute x values with respective angles

1(x) = 1(18)° = 18°

3(x) = 3(18)° = 54°

7(x) = 7(18)° = 126°

9(x) = 9(18)° = 162°

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