Question

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

Answer 1

Answer:

36 72 108 144

Explanation:

Let the angles be x, 2x, 3x and 4x.

As per the angle sum property of a quadrilateral,

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

=> 10x = 360

=> X = 36

Therefore the angles are 36, 72, 108 & 144.

Answer 2

Answer:

36° , 72° , 108° , 144°

Step-by-step explanation:

Given the angles of a Quadrilateral are in the ratio 1 : 2 : 3 : 4

Sum of all angles of a quadrilateral = 360°

∠A + ∠B + ∠C + ∠D = 360°

let ratio = x :2x : 3x : 4x

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

10x = 360

x = 36

The angles are,

∠A = 36°

∠B = 72°

∠C = 108°

∠D = 144°