Question

The angles off a triangle are in ratio 1:2:3 find them

Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given a Triangle whose angles are in ratio 1 : 2 : 3

To Find:

• We need the angles of Triangle

Solution:

Let the triangle be △ABC

Such that A : B : C = 1 : 2 : 3

______________________________________

Let us assume

$\fbox{∠A = x}$

$\fbox{∠B = 2x}$

$\fbox{∠C = 3x}$

_________________________________

Using Angle Sum Property

$\implies$ Sum of Angles = 180

$\implies$ ∠A + ∠B + ∠C = 180

$\implies$ x + 2x + 3x = 180

$\implies$ 6x = 180

$\implies$ x = $\dfrac{180}{6}$

$\implies \fbox{x = 30}$

_______________________________

Angles of Triangle are as Follows :

∠A = 30

∠B = 2$\times$ 30 = 60

∠C = 3$\times$30 = 90

Angles are 30 , 60 and 90

_________________________________

$\huge\mathfrak\red{Verification:}$

$\implies$ Ratio = 30 : 60 : 90

$\implies$ Ratio = 3 : 6 : 9

$\implies$ Ratio = 1 : 2 : 3

Hence Verified !!

Answer 2

Answer:

heya mate

here's ur answer ✌️✌️

let angles be 1x ,2x ,3x

and we know sum of all angles of triangle is 180°

therefore, 1x+2x+3x = 180°

➡️ x(1+2+3) = 180°

➡️ 6x = 180°

➡️ x = 180°/6

➡️ x = 30°

therefore

1x = 1×30° = 30°

2x = 2×30° = 60°

3x = 3×30° = 90°

Step-by-step explanation:

hope it helps

please mark as the brainliest ☺️☺️