Question

the angles of a traingle in a ascending order are are x, y,z and y-x=z 10 degree. The smallest angles is

Answer 1

Answer:

y−x=z−y=10

o

⇒y−x=10

o

,z−y=10

o

⇒x=y−10

o

,z=10

o

+y ....(1)

since, x+y+z=180

o

[Angle sum property]

y−10

o

+y+10

o

+y=180

o

⇒3y=180

o

⇒y=60

o

On substituting y=60

o

in (1). we get,

x=50

o

,z=70

o

∴ Smallest angle=50

o