Question

★ Question:
The angles of a Triangle are in the ratio 2 : 4 : 3. Find the smallest angle of the triangle.
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Answer 1

Answer:

40°

Step-by-step explanation:

Let the angle measure of the angles of the given Triangle be (2x)°, (4x)° and (3x)° respectively.

As we know that the sum of all three interior angles of a triangle is 180°.

So, (2x)°+(4x)°+(3x)° = 180°

=> (2x)+(4x)+(3x) = 180

=> 9x = 180

=> x = 180/9

=> x = 20

So, the angle measure of the angles of the given Triangle are (2×20)° =40°, (4×20)° = 80°, (3×20)° = 60° respectively.

Hence, the smallest angle of the triangle is 40°.

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