Question

The angles of a quadrilateral are in the ratio of 4:3:2:6 find the measure of each angles
(With steps)

Answer 1

Answer:

let the angles af a quadrilateral be 4x,3x,2x and 6x

ANGLE SUM PROPERTY OF QUADRULATERAL =180°

SO;

3x+ 2x+4x+6x= 180°

15x=180°

x=180°/15

x= 12°

angles :-

3x=3×12=36°

4x=4×12=48°

2x=2×12=24°

6x=6×12=72°

Answer 2

Answer:

96° , 72° , 48° and 144°.

Step-by-step explanation:

let the angles be 4x, 3x, 2x and 6x

we know that the sum of all the angles of a quadrilateral is 360°. So,

4x + 3x + 2x + 6x = 360°

15x = 360°

x= 360°/15

x = 24 °

now, the angles of a quadrilateral are

4x= 4× 24° = 96°

3x=3 × 24°= 72°

2x=2× 24°= 48°

6x=6×24°=144°