Math, asked by mistryk329, 14 days ago

The ratio of the angles of a quadnilateral is 3: 5: 9: 13, find all the angles of this quadrilateral.​

Answers

Answered by ay8076191
1

Step-by-step explanation:

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Answered by ItzShrestha41
5

Step-by-step explanation:

Let angle in the ratio 3:5:9:13 be a, b, c and d.

Then,

Let a = 3x, b = 5x, c = 9x and d = 13x

  • Sum of angle of quadrilateral is 360°

⇛ 3x+5x+9x+13x = 360°

⇛ 30x = 360°

⇛ x = \frac{360°}{30}

⇛ x = 12°

Hence the angles are:-

1st angle = 3x = 3×12 = 36°

2nd angle = 5x = 5×12 = 60°

3rd angle = 9x = 9×12 = 108°

4th angle = 13x = 13×12 = 156°

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