Question

Today Question ::

10). the ratio of the angles of a quadrilateral is 3:5:9:13 ,find all the angles of this quadrilateral ?

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Answer 1

Given :

• The ratio of the angles of a quadrilateral is 3:5:9:13.

To Find :

• Find all the angles of Quadrilateral ?

Solution :

• Let the angles be 3x, 5x, 9x and 13x.

As we know that,

• Sum of all angles of Quadrilateral is 360°.

Where,

• 1st angle = 3x
• 2nd angle = 5x
• 3rd angle = 9x
• 4rth angle = 13x

According to the question :

• Sum of angles of Quadrilateral = 360°

➣ 3x + 5x + 9x + 13x = 360°

➣ 8x + 9x + 13x = 360°

➣ 30x = 360°

➣ x = 360/30

➣ x = 12

Required angles are :

• 1st angle = 3x = 36°
• 2nd angle = 5x = 60°
• 3rd angle = 9x = 108°
• 4rth angle = 13x = 156°

Hence,

• Angles of Quadrilateral are 36°, 60°, 108° & 156°.

Answer 2

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Step-by-step explanation:

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