Question

The four angles of a quadrilateral are in the ratio 1: 2:3:4. Find the measure of each angle
of the quadrilateral​

Answer 1

Answer:

Let the angles of quadrilateral be = x, 2x, 3x and 4x.

The sum of angles of a quadrilateral be = 360°

Therefore, x + 2x + 3x + 4x = 360°

10x = 360° = x = 36°

Thus, required angles are :

36°, 2 × 36° = 72°, 3 × 36° = 108°, 4 × 36° = 144°

Answer 2

Step-by-step explanation:

let the measure of each angle be x

then,

we know that the sum of all the angles = 360°

therefore

1x + 2x + 3x + 4x = 360°

= 10x = 360°

= x = 360/ 10

= x = 36°

Now,

x = 36°

1 × 36 = 36°

2 × 36 = 72°

3 × 36 = 108°

4 × 36 = 144°

36° + 72° + 108° + 144° = 360°