Question

Find the interior angles of a quadrilateral which are in ratio 1:3:6:8

Answer 1

Answer:

1x + 3x + 6x + 8x = 360°

18x = 360°

x = 20°

angles ,

now put the values.

Answer 2

Answer:

The angles are -

• 20°
• 60°
• 120°
• 160°

Step-by-step explanation:

Given:

Ratio of angles = 1 : 3 : 6 : 8

The shape is a = quadrilateral

To find :

The interior angles

Solution :

Let the angles be -

• 1y
• 3y
• 6y
• 8y

According to the angle sum property of a quadrilateral all angles in a quadrilateral sum up and make 360°.

⇒ y + 3y + 6y + 8y = 360°

⇒ 4y + 6y + 8y = 360°

⇒ 10y + 8y = 360°

⇒ 18y = 360°

⇒ y = 360/18

⇒ y = 20°

One angle = 20°

3y = 3(20) = 60°

6y = 6(20) = 120°

8y = 8(20) = 160°

Therefore, the angles are -

• 20°
• 60°
• 120°
• 160°