Question

The angles of a triangle are in the ratio 1: 2: 3. Find the angles.

Answer 1

Answer:

The angles are 30°, 60° and 90°

Step-by-step explanation:

Angle sum property of Triangle=180°

Let the angles be x, 2x and 3x

So,

x+2x+3x=180° ....(Angle sum property)

6x=180°

x=180/6

x=30

Therefore,

x=30°

2x=2×30=60°

3x=3×30=90°

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

IF U FOUND IT HELPFUL THEN PLS MARK AS BRAINLIEST

Answer 2

Answer is 30°, 60°, and 90°.

Step-by-step explanation:

Let <1 = x

then, <2 = 2x (ratio is 1:2:3!)

so, <3 = 3x

Now,

Apply the Angle Sum Property of Triangle,

<1 + <2 + <3 = 180°

x + 2x + 3x = 180°

6x = 180°

(substitution method)

x = 180/6

x = 30°

So,

<1 = x = 30°

<2 = 2x = 2*30° = 60°

<3 = 3x = 3*30° = 90°.

You can even verify it by adding the angles we got. The answer should be 180°. If it is not, your answer is surely wrong.

I hope you got the point I wanted to explain to you.