Question

find the angles of a triangle which are in the ratio of 4:3:2​

Answer 1

Question:-

find the angles of a triangle which are in the ratio of 4:3:2

Answer:-

• The angles of triangle are 80°,60° and 40°.

To find:-

• All angles of triangle ️

Solution:-

• Ratio = 4:3:2

Put x in the ratio

• 4x
• 3x
• 2x

As we know,

• Sum of all angles of triangle is 180°

According to question,

$\large{ \tt : \implies \: \: \: \: \: 4x + 3x + 2x = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: \: 9x = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: \: x = \frac{180}{9} }$

$\large{ \tt : \implies \: \: \: \: \: x = 20 \degree}$

• The value of x is 20°

Put value of x in the ratio:-

• 4x = 4×20 = 80°
• 3x = 3×20 = 60°
• 2x = 2×20 = 40°

The angles of triangle ️ are 80°,60° and 40°.