Question

find y in terms of x ​

Answer 1

Answer:

x=(3y-y)/3

Step-by-step explanation:

in ∆ABC ACD is an exterior angle

ABC+BAC=ACD

2x+x=ACD

3x=ACD

similarly,

3y=ACD+y

3y=3x+y

3y-y=3x

2y=3x

y=3x/2

.........666.........

Answer 2

Answer:

Y=3X/2 IS THE ANSWER..

Step-by-step explanation:

in triangle ABC,

2x+x+angle ACB= 180 degree    [angle sum propoerty]

3x+ACB=180

ACB=180-3x.........1)

ACB + ACD =180

180-3X + ACD =180      (FROM 1)

ACD=3X...............2)

let the point where angle '3y' is formed be "E"

AED + DEC = 180

3Y + DEC=180

DEC=180-3Y..........3)

DEC + EDC + DCE =180    {ANGLE SUM PROPERTY}

180 - 3Y +Y + DCE =180

DCE = 2Y...............4)

IN TRIANGLE ABC,

CAB + ABC = ACD       [EXTERIOR ANGLE]

X + 2X = 2Y  [FROM 4) ]

3X=2Y

Y= 3X/2