Question

7. Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is
(i) 60°
(ii) 40°.
(iii) 80°
(iv). 20°​

Answer 1

Step-by-step explanation:

since angles of triangle are inthe ratio2:4:3

smallest angle=180×(2/9)

=40°

Answer 2

Given :

Angles of a triangle are in the ratio of 2:4:3.

To find :

We've to find the smallest angle in it.

Solution :

Let the unknown constant be x.

Also, let the angles be :

• $2x$

• $4x$

• $3x$

Here, by angle sum property of triangle :

$\implies 2x+4x+3x=180\degree$

$\implies 9x=180\degree$

$\implies x= \dfrac{180}{9}$

$\therefore \: x=20\degree$

So, the angles are :

• $2x=40\degree$

• $4x=80\degree$

• $3x=60\degree$

By this, we can conclude that, 40° i.e., Option(ii) is the smallest angle in the triangle.