The angle of a quadrilateral are the ratio 3:5:9:13.Find the greatest angle.
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hey here is ur answer
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kulsumbanoshaikh:
sry i forget to find greatest angle sry
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Let the number be 3x:5x:9x:13x.
then,
= The measure of quadrilateral is 360°
So, 3x+5x+9x+13x =360°
30x = 360°
x = 360/30
x = 12°
then,
3x = 3×12 = 36°
5x = 5×12 = 60°
9x = 9×12 = 108°
13x = 13×12 = 156°.
The greatest angle is 156 °.
then,
= The measure of quadrilateral is 360°
So, 3x+5x+9x+13x =360°
30x = 360°
x = 360/30
x = 12°
then,
3x = 3×12 = 36°
5x = 5×12 = 60°
9x = 9×12 = 108°
13x = 13×12 = 156°.
The greatest angle is 156 °.
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