Question

If the angles of a quadrilateral are in the ratio 1:2:3:4 .find all the angles

Answer 1

1x+2x + 3x +4x = 10
sum of qudiletral is 360°
10 x = 360°
x = 360/ 10 =36
1×36=36
2×36=72
3×36=108
4×36=144

Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 1:2:3:4

Let ∠A = 1x  ∠B = 2x  ∠C = 3x  ∠D = 4x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 1x + 2x + 3x + 4x = 360°

⇒ 10x = 360

⇒ x = 360 ÷ 10 = 36

So , the angles of the quadrilateral is

∠A = (1 × 36)° = 36°

∠B = (2 × 36)° = 72°

∠C = (3 × 36)° = 108°

∠D = (4 × 36)° = 144°