Question

The angle of a quadrilateral are in the ratio 4: 4: 5: 5. Find the measure of each angle.​

Answer 1

AnswEr :

Let the Angles be 4x , 4x , 5x and, 5x.

➟ Sum of all Angles of Quadrilateral = 360°

➟ 4x + 4x + 5x + 5x = 360°

➟ 18x = 360°

➟ x = $\large\tt{\frac{360°}{18}}$

➟ x = 20°

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• 1st Angle = 4x = 4 × 20 = 80°
• 2nd Angle = 4x = 4 × 20 = 80°
• 3rd Angle = 5x = 5 × 20 = 100°
• 4th Angle = 5x = 5 × 20 = 100°

Answer 2

let the ratio of quadrilateral are is 4x ,4x,5x ,5x

as we know that the sum of quadrilateral are =180

so,

4x+4x+5x+5x =180

18x=180

x=180/18

x=10

1st angle is = 4*10=40

2nd angle is =4*10=40

3rd angle is = 5*10=50

4th angle is =5*10=50

check; 40+40+50+50=180

so, our answer is right