Question

in a quadrilateral ABCd the angles abcd are in the ratio of 1:2and3:4 find the vernest of each of the angles of quadrilateral​

Answer 1

Answer:

∠A=36  

o

,∠B=72  

o

,∠C=108  

o

,∠D=144  

o

Step-by-step explanation:

∠A:∠B:∠C:∠D=1:2:3:4

So, let ∠A=x,∠B=2x,∠C=3x,∠D=4x

Therefore, by angle sum property of quadrilateral,

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

10x=360

x=36

o

 

Hence,

∠A=36  

o

,∠B=72  

o

,∠C=108  

o

,∠D=144  

o

.