the ratio of angles of the quadrilateral are 4:5:6:5 find the angles of the quadrilateral
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Step-by-step explanation:
let ABCD be a required quadrilateral
let angle A =4x
angle B =5x
angle C= 6x
angle D= 5x
By angle sum property of quadrilateral
angle A + angle B + angle C + angle D =360°
4x+5x+6x+5x = 360°
20x =360°
x= 360°/20
x= 18°
angle a =4x
= 4×18
=72°
angle b =5x
=5×18
=90°
angle c =6x
=6×18
=108°
angle d =5x
=5×18
=90°
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