Question

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

Answer 1

Answer:

Step-by-step explanation:

We know that sum of the angle of a quadrilateral is equal to 360∘

Given :

Three angles are equal

Let the equal angle be x

FOURTH ANGLE IS TWICE ONE OF THE ANGE

SO  lets, 3 similar angles are x,x,x, and fourth one is y which is equal to 2X(given in Question)

3x + y = 360

3X+2X=360

5X=360

X=72

SO THREE ANGLES ARE 72 AND FOURTH ANGLE IS 144

Answer 2

Let angles of a quadrilateral are w,x,y,z

Given that....three angles are equal

w=x=y

Fourth angle = twice any of the angle

z=2x

Angle sum of quadrilateral=360

w+x+y+z=360

x+x+x+2x=360

5x=360

x=360/5

x=72

2x=2*72

2x=144

Therefore the angle are 72,72,72 and 144

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