Question

If the angles of a triangle are in the ratio 4:3:2,then the smallest angle is:

Answer 1

Given:

• Ratio of the angles of a triangle = 4:3:2.

To Find:

• The smallest angle = ?

Solution:

• Let's consider the angles of a triangle are 4x, 3x and 2x respectively.

Therefore,

$\sf \implies \: 4x + 3x + 2x = 180 \\ \\ \sf \implies \: 9x = 180 \\ \\ \sf \implies \: x = \cancel \frac{180}{9} \\ \\ \sf \implies \: x = 20$

Therefore,the value of x is 20.

Hence,

• Smallest angle = 2x = 2 $\times$ 20 = 40$\degree$