Question

if the angles of a triangle are in the ratio 1:4:5 .Find the angles​

Answer 1

Step-by-step explanation:

Let the angles of a triangle x:4x:5x

⇒x+4x+5x=180

∘

by angle sum property of a triangle.

⇒10x=180

∘

∴x=

10

180

∘

=18

∘

Hence x=18

∘

4x=4×18

∘

=72

∘

and 5x=5×18

∘

=90

∘

The angles are 18

∘

,72

∘

and 90

∘

Answer 2

Answer

Let the angles of a triangle x:4x:5x

⇒x+4x+5x=180 ∘

by angle sum property of a triangle.

⇒10x=180 ∘

∴x= 10180 ∘

=18 ∘

Hence x=18 ∘

4x=4×18 ∘ =72 ∘

and 5x=5×18 ∘ =90 ∘

The angles are 18 ∘ ,72 ∘ and 90 ∘