Question

The angle of a quadrilateral are in the ratio1:2;3:4. Find each angle​

Answer 1

let the rate be x

we know that the, total sum of the angles in a quadrilateral =360°

thus,

1x+2x+3x+4x=360°

10x=360°

x=360/10

x=36°

therefore,

2x=2×36

=72°

3x=3×36

=108°

4x=4×36

=144°

hence, the angles are 36°,72°,108°,144°

verification -

sum of all angles in a quadrilateral=360°

thus,

36°+72°+108°+144°=360°

360°=360°

Answer 2

Answer:

Step-by-step explanation:

Let angle a =x ,b=2x,c=3x,d=4x .So,.             Angle a+angle b +angle c+ angle d=360°.                   x+2x+3x+4x=360°.                10 x=360°                             x=36°. So,angle a=36°,b=72°,c=108°,d=144°