Question

the angles of a quadrilateral are in the ratio 2:4:5:7.find allthe angles

Answer 1

⚫ANSWER⚫

The sum of the angles of quadrilateral = 360°

Let angles

= 2x

= 4x

= 5x

= 7x

= 2x + 4x + 5x + 7x = 360

= 18x = 360

= x = 360 ÷ 18

= x = 20

2x = 2 × 20

= 40

4x = 4 × 20

= 80

5x = 5 × 20

= 100

7x = 7 × 20

= 140

Hope it helps......

Answer 2

Answer:

We know, according to the angle sum property of a quadrilateral the sum of all angles in a quadrilateral= 360°

we consider a common factor 'x'

hence the angles can be written as:

2x, 4x, 5x, 7x

.°. 2x + 4x + 5x + 7x= 360°

x(18)= 360

x= 360÷18

x= 20

hence,

2x=40°

4x=80°

5x=100°

7x=140°