Question

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Answer 1

Answer:

the measure of each angle will be 80°

Step-by-step explanation:

let the angles be

$x, x,x,120$

sum of angles of quadrilateral is 360°

$x+x+x+120=360\\3x+120=360\\3x=360-120\\3x=240\\x=240/3\\x=80$

Answer 2

Given:

Three ∠ of quadrilateral are equal

one ∠ of quadrilateral is 120°

To Find:

All Three ∠ of quadrilateral.

Let all three ∠ be x

1 ∠ = x

2 ∠= x

3 ∠= x

while 4th ∠ is 120°

As we know that

sum of all ∠ of quadrilateral is 360°

:-x + x + x + 120° = 360°

:-3x + 120° = 360°

:-3x = 360° - 120°

:-3x = 240°

;-x = 240° / 3

:-x = 80°

as per the question

all three ∠ are equal

1∠ = 80°

2∠ = 80°

3∠ = 80°