Question

the ratio of the angles of a quaderellal is3: 5: 9: 13,find all the angles of this quadiarallel give me answer

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Answer 1

Answer:

Mark as brainliest answer.

Step-by-step explanation:

→ Let the angles of quadrilateral be :

→ 3x , 5x , 9x , 13x

→ We know that sum of all angles of the quadrilateral is 360°

→ 3x + 5x + 9x + 13x = 360

→ 30x = 360

→ x = 360/30

→ x = 12

→ 3x = 3(12) = 36°

→ 5x = 5(12) = 60°

→ 9x = 9(12) = 108°

→ 13x = 13(12) = 156°

Answer 2

Step-by-step explanation:

Let,

The angles of quadiarallel be 3x, 5x, 9x and 13x

As we know that,

Sum of angles of quadiarallel = 360°

★ According to the Question :

⇒ 3x + 5x + 9x + 13x = 360

⇒ 30x = 360

⇒ x = 360/30

⇒ x = 12

★ Value of 3x :

⇒ 3 (12)

⇒ 36

Value of 3x = 36

★ Value of 5x :

⇒ 5 (12)

⇒ 60

Value of 5x = 60

★ Value of 9x :

⇒ 9 (12)

⇒ 108

Value of 9x = 108

★ Value of 13x :

⇒13 (12)

⇒ 156

Value of 13x = 156

Therefore, the angles are 36°, 60°, 108° and 156° .