Question

three angles which add two 180° are in the the ratio 2:3:4. Find the Angles.​

Answer 1

Answer:

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The angles are as follows

1.) 40°

2.) 60°

3.) 80°

Step-by-step explanation:

#SAGARTHELEGEND

Answer 2

• Let the all angles of triangle be 2x , 3x and 4x.

✎ According to the question ✎

$\large \: 2x \: + \: 3x \: + \: 4x \: = \: 180 \degree \\ \\ \large \: 9x \: = \: 180 \degree \\ \\ \large \: x \: = \: \frac{180}{9} \\ \\ \large \: x = 20$

_________________________

$\large \: 2x \: = \: 2 \: × \: 20 \\ \large= 40 \\ \\ \large \: 3x \: = \: 3 \: \times \: 20 \\ \large \: = 60 \\ \\ \large \: 4x \: = \: 4 \: \times \: 20 \: \\ \large \: = 80$

• First angle of triangle is 40°
• Second angle of triangle is 60°
• Third angle of triangle is 80°

$\bf \Large \hookrightarrow \: \: Verification$

Sum of all angles of triangle = 180°

40° + 60° + 80° = 180°

180° = 180°

☛ Hence , Proved