Question

Angles of a triangle are in the ratio 2:3:4. Then the smallest angle is
(a) 50o
(b) 40o (c) 60o (d) 80o

Answer 1

Answer:

Correct option is (b) 40°.

Step-by-step explanation:

Given:

The angles of a triangle are in the ratio 2:3:4.

To find:

the smallest angle.

Solution:

Let the angle angle be 2x,3x,4x.

By angle sum property,

2x+3x+4x = 180°

9x = 180°

x = 180°÷9

x = 20°

Now,

Angles of triangle are

=> 2x = 2×20 = 40°

=> 3x = 3×20 = 60°

=> 4x = 4×20 = 80°

Thus, the required angle are 40°,60° and 80°.

Hence,the smallest angle = 40°

Answer 2

Answer:

(b) 40°

Step-by-step explanation:

Let the angles be:-

2x, 3x and 4x.

We know that sum of interior angles of Triangle is 180°.

So, 2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 180°/9

=> x = 20°

Therefore, Smallest Angle

= 2x

= 2 × 20°

= 40°

So, the correct option is:-

(b) 40°

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