Question

The angle of a triangle are in the ratio1:2:3.find the angles

Answer 1

x+2x+3x = 180

6x=180

x=30°

2x=60°

3x=90°

the angles are 30°,60°,90°

i hope this will surely help u mate

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

The angle of a triangle are in the ratio 1:2:3.find the angles ?

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{\pink{Given}}}}}$

• The angle of a triangle are in the ratio 1:2:3

$\Large{\underline{\mathfrak{\bf{\pink{Find}}}}}$

• Angle of triangle

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Let,

• first angle = x
• Second angle = 2x
• Third angle = 3x

we know,

In any triangle always have 180° .

Or,

Sum of whole angle in triangle = 180°

➠ ( x ) + (2x ) + (3x) = 180°

➠ 6x = 180°

➠ x = 180°/6

➠ x = 30°

_________________________

So, Angle of triangle will be

• first angle = x = 30°
• Second angle = 2x = 30° × 2 = 60°
• Third angle = 3x = 3 × 30° = 90°

$\Large{\underline{\underline{\mathfrak{\bf{Answer\:verification}}}}}$

Sum of whole angle in triangle = 180°

➠ (30° + 60° + 90° ) = 180°

➠ 180° = 180°

L.H.S = R.H.S

That's proved