## If three angles of a triangle are in the ratio 2 : 6 : 1 . Find all the angles. What type of triangle is it

Question

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## Answers ( )

Solution:Let the angleso f the triangle be 2x , 6x and x [ here x stands for a nom zero number]

Now,

2x+6x+x=180[Angle sum property]

=> 9x = 180

=>. x = 180/9

=> x= 20

therefore required angles are 2x= 2×20=40,6x=6×20=120 and x=20

Since one its angle’s is 120° therefore the triangle is an obtuse trinagle [ Triangles having one angle more than 90° are called obtuse angle]

Hope it helped you.

Step-by-step explanation:let the angles be 2x,6x,1x

2x+6x+1x=180°

9x=180°

x=180°/9

=20°

angle1=2×20=40°

angle2=6×20=120°

angle3=1×20=20°

it is obtuse angled ∆.