Question

the three angels of a triangle are in the ratio 1:2:3 find the measure of each angel

Answer 1

We know that
Angle sum property of a triangle=180°
Let the angles be x, 2x and 3x
now, x+2x+3x=180°
6x=180
x=30
So, first angle= 30°
second angle=60°
third angle=90°

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Given,

Ratio = 1: 2 : 3

We know that :-

Sum of all angles of triangle = 180°

Assumption,

Angles of triangle be p , 2p and 3p

Now,

Sum of angle of triangle = 180°

p + 2p + 3p = 180

6p = 180

$\rm \: \: \: \: \: \: \: \: \:p=\dfrac{180}{6}$

p = 30

Therefore,

Angles are :-

p = 30°

2p = 2 × 30 = 60°

3p = 3 × 30 = 90°

Verification:

Sum of angle of triangle = 180°

30 + 60 + 90 = 180

180 = 180