Find tha smallest angle of quadrilateral angle are in ratio 2:3:4:6 Question Find tha smallest angle of quadrilateral angle are in ratio 2:3:4:6 in progress 0 Math Ximena 1 month 2021-08-17T08:11:36+00:00 2021-08-17T08:11:36+00:00 2 Answers 0 views 0

## Answers ( )

Answer:48

Step-by-step explanation:Let the angles be = 2x , 3x , 4x and 6x

Sum of all angles of quadrilateral = 360

==: 2x + 3x + 4x + 6x = 360

==: 15x = 360

==: x = 24

Angles = 48 , 73 , 96 and 144

Smallest angle = 48

Pls mark my answer as brainlistPls follow meSOLUTION:-Given▪︎ Ratio of angles 2:3:4:6

Tofind▪︎ Smallest angle

ExplanationWeknowthat,SumofallanglesofaQuadrilateralis360Let Quadrilateral be ABCD

So, angles are A,B,C,D

AccordingtoquestionA:B:C:D= 2:3:4:6

Let angles be

A= 2x

B= 3x

C= 4x

D= 6x

NowSumofallanglesofaquadrilateral=360A+B+C+D= 360

2x+3x+4x+6x=360

15x=360

x= 360/15

x= 24°

Now,Anglesare⤵️⤵️A=2x= 2×24= 48°

B= 3x= 3×24= 72°

C= 4x= 4×24= 96°

D= 6x= 6×24= 144°

So,SmallestangleisA=48°___________________________