Question

If the angles of a triangle are in the ratio 1: 2: 3, determine three angles

Answer 1

Answer:

1x+2x+3x=180

6x=180

x=30

angle -1= 1x=1×30=30

angle-2=2x=2×30=60

angle-3=3x=3×30=90

Step-by-step explanation:

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Answer 2

Answer:

30°, 60°, 90° respectively

Step-by-step explanation:

As they are in the ratio form, if we multiply them with any common mo. they'll remain in the same ratio

Let's suppose the no. is x

Then,

x + 2x + 3x = 180 (Angle sum property of the triangle)

6x = 180

x = 180/6 = 30

So, x = 30°

Now, the three angles

x = 30°

2x = 2 × 30 = 60°

3x = 3 × 30 = 90°

Verification:

According to the angle sum property the sum of the interior angles of a triangle is = 180°

So, the sum of those 3 angles should be 180°

30 + 60 + 90 = 180

The sum of the angles is resulting in 180°

Hence, the three angles are 30° , 60° and 90° respectively

Hope this helps !!