Question

If the angles of a triangle are in the ratio 2:3:4. find the angles.
Mathematics-8​

Answer 1

$\sf{Answer}$

Step by step explanation:-

Given :-

Angles of triangle in ratio 2:3:4

To find :-

Angles of triangle

Concept to know :-

Sum of angles in triangle is 180°

❀Solution❀

So,

Given ratio 2:3:4

Let the angles be

2x ,3x ,4x

As we know Sum of angles in triangle is 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

Finding angles:-

2x = 2(20°) = 40°

3x = 3(20°) = 60°

4x = 4(20°) = 80°

Required angles are :-

40°,60°,80° are the angles in triangle

Verification:-

So , we got angles their sum should be 180° then only our answer is correct

So,

40°+60°+80° = 180°

Hence verified✔

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Answer 2

Answer ::

The angles of triangle are :-

• 40°
• 60°
• 80°

Step-by-step explanation ::

To Find :-

• The angles of triangle

Solution :-

Given that,

• The angles are in the ratio of 2 : 3 : 4

As we know that,

1st angle + 2nd angle + 3rd angle = 180° . . . . angle sum property of triangle,

Therefore, 2x + 3x + 4x = 180°

Assumption :-

Let us assume the unknown angles as 2x, 3x and 4x,

ACCORDING THE QUESTION,

The angles are :-

⇒2x + 3x + 4x = 180

⇒5x + 4x = 180

⇒9x = 180

⇒x = 180 / 9

⇒x = 20

The value of x is 20.

Now, the angles are :-

➻ The angle which we assumed as 2x,

⇒2x

⇒2 × 20

⇒40°

➻ The angle which we assumed as 3x,

⇒3x

⇒3 × 20

⇒60°

➻ The angle which we assumed as 4x,

⇒4x

⇒4 × 20

⇒80°

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

Now, Verification

⇒40 + 60 + 80 = 180

⇒40 + 140 = 180

⇒180 = 180

L.H.S = R.H.S

HENCE, VERIFIED !