Question

the angles of a quadrilateral are in the ratio 3:5:9:13.find all the angles of the quadrelateral​

Answer 1

GIVEN:

$\sf \bull \: Ratio \: of \: angle \: of \: Quadrilateral \: is \: 3:5:9:13$

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TO FIND:

$\sf \bull \: Angles \: of \: Quadrilateral$

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SOLUTION:

Let ABCD be a quadrilateral.

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Let the ratio of angles of Quadrilateral be 3x:5x:9x:13x.

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★ By applying angle sum property of quadrilateral.

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$\bf :⟹ 3x+5x+9x+13x=360°$

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$\bf :⟹ 30x=360°$

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$\bf :⟹ x = \frac{360 \degree}{30}$

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$\bf :⟹ x = 12 \degree$

Angles of quadrilateral are:-

• Angle A=3x=3×12°=36°
• Angle B=5x=5×12°=60°
• Angle C=9x=9×12°=108°
• Angle D=13x=13×12=156°