Question

the angels of a quadrilateral are equal and the measure of fourth angle is 120° find the measure of each of the equle angles

Answer 1

Note -

We know, there are 4 ∠s in a Quadrilateral, out of which 3 ∠s are equal and only one ∠ is 120°

We know,

Sum of ∠s of a Quadrilateral = 360°

Let's assume the equal ∠s as x°

According to Question,

Sum of ∠s = 360°

x + x + x + 120 = 360

⇒ 3x + 120 = 360

⇒ 3x = 360 - 120

⇒ 3x = 240

⇒ x = 240 / 3

⇒ x = 80

As, each equal ∠ of Quadrilateral = x°

Hence, each equal ∠ of Quadrilateral is 80°

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