Question

if the angle of quadrilateral are in ratio 2 ratio 3 ratio 5 ratio 8 ratio find all the angles​

Answer 1

Answer:

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question

Answer 2

Answer:

40° , 60° , 100° and 160°

Step-by-step explanation:

The angles are in the ratio 2 : 3 : 5 : 8

Let the angles of the quadrilateral be 2x , 3x , 5x and 8x.

Sum of angles of a quadrilateral = 360°

So, 2x + 3x + 5x + 8x = 360°

⇒ 18x = 360°

⇒ x = 360° / 18

⇒ x = 20°

⇒2x = 2 * 20 = 40°

3x = 3 * 20 = 60°

5x = 5 * 20 = 100°

8x = 8 * 20 = 160°

∴ The four angles of the quadrilateral are 40° , 60° , 100° and 160°