Question

plz answer this plz. ​

Answer 1

Answer:

angles=30° ,60° ,90°

Step-by-step explanation:

let,

the angles be x,2x,3x

we know that,

In triangle sum of the angles are 180°

so,

x+2x+3x=180°

or, 6x=180°

therefore, x=180°\6=30°

angle x=30

angle 2x=2×30°=60°

angle 3x=3×30°=90°

Answer 2

★ How to do :-

Here, we are given with a triangle which consists it's angles in the ratio of 1:2:3. We should find all the sides of this triangle. So, we can take the side of a triangle as a variable 'x' and then find the value of that. We know that all the angles in a triangle together measures 180°. So, using this information we can find all the angles of this triangle. Let's do it!

$\:$

➤ Solution :-

Let the side of a triangle be x.

So, all the sides of the triangle will be x, 2x and 3x.

Finding the value of x :-

${\tt \leadsto x + 2x + 3x = {180}^{\circ}}$

${\tt \leadsto 6x = {180}^{\circ}}$

Here, we should shift 6 to RHS and divide them.

${\tt \leadsto x = \dfrac{180}{6}}$

${\tt \leadsto \cancel \dfrac{180}{6} = 30}$

${\tt \leadsto \boxed{\tt x = 30}}$

$\:$

Now,

Value of angle 1 :-

${\tt \leadsto 30 \times 1}$

${\tt \leadsto {30}^{\circ}}$

Value of angle 2 :-

${\tt \leadsto 30 \times 2}$

${\tt \leadsto {60}^{\circ}}$

Value of angle 3 :-

${\tt \leadsto 30 \times 3}$

${\tt \leadsto {90}^{\circ}}$

$\Huge\therefore$ All the angles of the triangle measure 30,60 and 90 degrees.