Three angles of a quadrilateral are equal. the fourth angle is twice any one of the angle. find the measure of each angle.

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Solution

Dear Student,
let measure of three equal angle is x
then measure of fourth angle=2x
sum of all angles of a quadrilateral = 360
so
x+x+x+2x=360
5x= 360
x=72
first three angles are of 72 degree,72 degree,72 degree
fourth angle is equal to 2 x=72×2=144 degree
Regards

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