Question

Three angle of quadrilateral and are in the ratio 1 ratio 2 ratio 3 ratio 4 find the angle

Answer 1

Step-by-step explanation:

Let the ratio be 1x, 2x, 3x, 4x.

1x+2x+3x+4x=360

10x=360

x=36

Therefore the angels are :

1x=1*36=36

2x=2*36=72

3x=3*36=108

4x=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°