Math, asked by bhuriyarudra21, 3 months ago

the angles of quadrilateral are not n the ratio 3:5:9:13 find all the angles of the quadrilateral​

Answers

Answered by NiCK08
1

Answer:

A = 3×12° = 36°

B = 5×12° = 60°

C = 9×12° = 108°

D = 13×12° = 156°

Step-by-step explanation:

Let the quadrilateral be ABCD.

Let the ratio be 3x:5x:9x:13x

Sum of all angles of a quadrilateral is 360°. (1)

Now placing values in equation (1) we get,

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360°/30

x = 12°

A = 3×12° = 36°

B = 5×12° = 60°

C = 9×12° = 108°

D = 13×12° = 156°

Hope this helps you!

:)

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