Question

angles of quadrilateral are in the ratio

3:5:9:13.Find all the angles of quadrilateral.​

Answer 1

Step-by-step explanation:

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Answer 2

Here, we are given with a quadrilateral whose ratio of angles is 3:5:9:13. We have to find the measure of each of these angles.

Let,

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

According to angle sum property of Quadrilateral, All the four angles of a quadrilateral add upto 360°.

That means,

➝ 3x + 5x + 9x + 13x = 360°

➝ 30x = 360°

➝ x = 360° / 30

➝ x = 12°

The measure of the angles are$:$

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

And we are done !!