Question

If x, y and z are the interior angles of a triangle and x/2=y/4=z/3
, then find the greatest angle of the triangle ​

Answer 1

Given

x/2=y/4=z/3

y=2x

z=3x/2

x+y+z=180

x+2x+3x/2=180

2x+4x+3x=360

9x=360

x=40

y=2x=80

z=3x/2=60

Hence y is the greatest angle

Answer 2

Answer:

Step-by-step explanation:

Given,

X/2=y/4=z/3(=k)

x=2k…….(a)

y=4k………(b)

z=3k……….(c)

We know that…

x=y=z=180’

=>2k+4k+3k=180’

9k=180

K=20

(a) x=2*20=40      

(b) y=> 4*20=80

(c) z=> 3*20=60

“Y” is the answer