Question

The angles of
triangle are in the ratio 3:24:
find the measure of each angle
.​

Answer 1

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Ratio=3:2:4

Let the angles be x

Then angles= 3x:2x:4x

We know that sum of all angles of traingle=180°

so, 3x+2x+4x=180°

9x=180

$\sf \: x = \frac{180}{9} = 20$

First angle=3x=3×20=60°

Second angle=2x=2×20=40°

Third angle=4x=4×20=80°

${\underline{❥ʜᴏᴘᴇ \: ɪᴛ \: ʜᴇʟᴘs \: ʏᴏᴜ.....}}$

Answer 2

Angles of triangle in ratio = 3 : 2 : 4

Let us name the angles = "x"

So, after naming the angles we "x"

= Angle 1 = 3x

= Angle 2 = 2x

= Angle 3 = 4x

So, to find out the actual measure of angles we have to find out the value of "x".

So, let's find out the value of "x".

Sum of all angles in a triangle = 180°

By the angle sum property we got that

= 3x + 2x + 4x = 180°

= 9x = 180°

= x = 180 ÷ 9 = 20

So, the value of "x" = 20

Now, as we got the value of "x"

We can easily find the actual value of the angles

Let's find it out :-

Angle 1 = 3x = 3 × 20 = 60°

Angle 2 = 2x = 2 × 20 = 40°

Angle 3 = 4x = 4 × 20 = 80°

Therefore, the actual measure of the angles are :-

60°, 40° and 80°