Question

the ratio of the measures of the three angles of a triangle is 2 : 3 : 4. Then measure three angles


50°, 60°,70°

20°, 60°, 100°

40 °, 60°, 80°

40°,50°,90°

​

Answer 1

Answer:

40°, 60°, 80°

Step-by-step explanation:

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

To find :

• All the measure of the angles of the triangle.

Knowledge required :

• The sum of all the angles of triangle is 180°.

Finding x :

2x + 3x + 4x = 180°

⇒5x + 4x = 180°

⇒9x = 180°

⇒x = 180°/9

⇒x = 20°

.°. x = 20°

Finding the angles:

2x = 2 × 20 → 40°

3x = 3 × 20 → 60°

4x = 4 × 20 → 80°

.°. The angles are 40°, 60° and 80°.

Hence, the 3rd option 40°, 60° & 80° are the angles of the triangle.

Answer 2

$\sf{Answer}$

Stel by step explanation:-

In a triangle sum of angles should be 180° By using this concept we can solve this pŕoblem

Solution:-

Given ratio 2:3:4

Let the angles are 2x,3x,4x

We already know that Sum of their angles is 180°

So,

2x + 3x +4x = 180°

9x = 180°

x = 20°

Finding angles:-

2x = 2(20) = 40°

3x = 3(20) = 60°

4x = 4(20) = 80°

So,Required angles of triangle are 40°,60°,80°

Verification:-

We have got 3 angles Their sum should be equal to 180°

So, 40°+60°+80°=180°

Hence verified

Ur answr is option (3)