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