Question

there are of a quadri laterl are in the ratio 1:2: 3:4 if the sum of the angle of the quadrilaterl is 360 find the measure of the each angle​

Answer 1

Let the unit be x so the numbers are x 2x 3x and 4x

as we know measure of all angles are 360 degree

so According to question the equation is

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

10x =360

x=36

so now the angles are x=36

2x=72

3x=108

and 4x=14

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°