Question

the angles of a quadrilateral are in the ratio 3:5:4:6 how much do they measure each?


step by step

Answer 1

Answer:

60° . 80°, 100°, 120°

Step-by-step explanation:

As there ratio is 3:4:5:6, let the angles are 3x, 4x, 5x and 6x.

Sum of all interior angles of any quadrilateral is 360°.

⇒ 3x + 4x + 5x + 6x = 360°

⇒ 18x = 360°

⇒ x = (360°/18)

⇒ x = 20°

  ∴ angles are

3x = 3(20°) = 60° ; 4x = 4(20°) = 80°

5x = 5(20)° = 100° ; 6x = 6(20) = 120°

Answer 2

Given :-

Angles of quadrilateral = 3:5:4:6

To Find :-

Angles

Solution :-

Let,

1st angle = 3x

2nd angle = 5x

3rd angle = 4x

4th angle = 6x

Sum of all angles = 360

3x + 5x + 4x + 6x = 360°

8x + 10x = 360°

18x = 360°

x = 360/18

x = 20

Angles are

3(20) = 60°

5(20) = 100°

4(20) = 80°

6(20) = 120°