Question

24
If the angles of triangles Abe
are in the reatis 2: 3:4, find
the measure of the angle A,B,C.​

Answer 1

Answer:

Let the common multiple be x.

sum of ratio=2+3+4=9x

9x = 180

x =20

2x is 40

3x is 60

4x is 80

Answer 2

Answer:

The angles are 40°, 60° and 80°.

Step-by-step explanation:

Given :

Ratio of the angles = 2 : 3 : 4

To find :

Measure of the angles

Solution :

Let the angles be -

• 2x
• 3x
• 4x

According to the Angle sum property of triangle, all angles of the triangle sum up and make 180°

★ $\green{\boxed{\green{\boxed{\red{\rm{2x+3x+4x=180}}}}}}$

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

$\rule{300}{1.5}$

★ Value of 2x

$\rm{\implies} \: 2(20) \\ \rm{\implies} \: 40$

One angle = 40°

$\rule{300}{1.5}$

★ Value of 3x

$\rm{\implies} \: 3(20) \\ \rm{\implies} \: 60$

Second angle = 60°

$\rule{300}{1.5}$

★ Value of 4x

$\rm{\implies} \: 4(20) \\ \rm{\implies} \: 80$

Third angle = 80°

$\therefore$ The angles are 40°, 60° and 80°.