Question

the angels of quadrilateral are in the ratio 4 : 6 :8 :12 find all the angles of quadrilateral.​

Answer 1

Answer:

All the angles of the quadrilateral are 48° , 72° , 96° , 144°.

Step-by-step explanation:

Given :-

• Angles of a quadrilateral are in the ratio 4 : 6 : 8 : 12.

To find :-

All the angles of the quadrilateral.

Solution :-

We know that, sum of all the angles of a quadrilateral = 360°

Let the angles be 4x , 6x , 8x , 12x.

⇒ 4x + 6x + 8x + 12x = 360°

⇒ 30x = 360°

⇒ x = 360°/30

⇒ x = 12 °

Angles are :

• 4x = 48°
• 6x = 72°
• 8x = 96°
• 12x = 144°

All the angles of the quadrilateral are 48° , 72° , 96° , 144°.