Question

The angle of a quadrilateral are in the ratio 2:4:5:7.find the angle

Answer 1

Step-by-step explanation:

Let all angles be x°

sum of all angles=360°

therefore,2x+4x+5x+7x=360°

18x=360°

x=20°

Hence,angle1--2×20°=40°

angle 2--4×20°=80°

angle 3--5×20°=100°

angle 4--7×20°=140°

Answer 2

Let the four angles of the quadrilateral be 2x, 4x, 5x and 7x respectively.

We know the sum of them is 360°

So, we will simply add the all the angles we took and will equal to 360.

We will get the value of x

Finally, we will subsitute the values

→ 2x + 4x + 5x + 7x = 360

→ 6x + 5x + 7x = 360

→ 11x + 7x = 360

→ 18x = 360

→ x = 360/18

→ x = 20

Thus, we for got the value of x as 20

We will subsitute the values :-

2x = 2 × 20 = 40°

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

7x = 7 × 20 = 140°

Hence, done