Question

The angles of a quadrilateral are in the ratio 2:3:6:7. Find all the angles

Answer 1

Answer:

Heya mate here's the answer Mark as brainliest

Answer 2

Given

• Ratio of the quadrilateral's angles 7 : 3 : 2 : 6

To find

• All angles of the quadrilateral .

Solution

Let take the angles be

• 7a
• 3a
• 2a
• 6a

➪ 7a + 3a + 2a + 6a = 360° ( sum of the quadrilateral is 360°)

➪ 18a = 360°

➪ a = 360° ÷ 18

➪ a = 20

∴ the value of a is 20 .

_______________

where

a = 20

➪ 1 )  7a = 7 × 20 = 140°

➪ 2) 3a = 3 × 20 = 60°

➪ 3) 2a = 2 × 20 = 40°

➪ 4) 6a = 6 × 20 = 120°

By putting the value of a we get 120° , 40° , 60° , 120° .