Question

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

Answer 1

Let the angles be 3x, 5x, 4x, and 6x.

3x+5x+4x+6x = 360* ( Angle sum property )

18x = 360*

x= 360/ 18

= 90*

Hope this helps

Answer 2

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°