Question

In a quadrilateral ABCD, the angles A,B,Cand D are in the ratio 1:2:3:4. Find the measure
of each angle of the quadrilateral.​

Answer 1

Answer:

Step-by-step explanation:

Sum of angles of a quadrilateral= 360 degrees.

Assumption: Let the common ratio be x degrees.

Sol:

Statement                                                                    Reason

x+2x+3x+4x=360 degrees                                          Sum of angles.

10x=360 degress                                                         Adding

x=360/10                                                                       Transposing

x=36                                                                              Solving.

x=36,

2x=72

3x=108

4x=144

Hope this helps.

Thank you.

Answer 2

Here you go mate

Let all the angles be x
So,the angles are 1x,2x,3x,4x

The angle sum of a quadrilateral is 360 degree


1x+2x+3x+4x=360
10x=360
X=360/10=36
So the angles are
1x=1(36)=36
2x=2(36)=72
3x=3(36)=108
4x=4(36)=144
144+108+72+36=360

Mark it as the brainliest