Question

The angle of quadrilateral are in the ratio 3:5:9:13.find all the angles of the quadrilateral.

Answer 1

$\huge\rm{\boxed{\red{ ➲ Question}}}$

The angle of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.

Solution:-

Let the angles of the quadrbilateral be 3x,5x,9x,13x.

Point to remember :➜ Sum of all angles of a quadrilateral = 360°

Therefore,

=> 3x + 5x + 9x + 13x = 360°

=> 20x = 360°

$\boxed{ => x = 12° }$

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➵Therefore,

applying value of 'x' on the angles we assumed,

• 3x = 3 (12°) = 36°
• 5x = 5 (12°) = 60°
• 9x = 9 (12°) = 108°
• 13x = 13(12°) = 156°

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Hence , shown.