Question

in a triangle the the ratio of angels is 3:7:5 find the measure of all the angels​

Answer 1

✷ Solution :-

Given,

• Ratio of angles = 3 : 7 : 5

We need to find ,

• Measure of all angles = ?

Using angle sum property ,

Angle sum property :- Sum of all angles in a traingle = 180°

Let the given ratio 3 : 7 : 5 be a part of ‘x’

So , by using angle sum property

➜ 3x + 7x + 5x = 180°

➜ 15x = 180°

➜ x = 180°/15

➜ x = 12°

Now , finding measure of all angles ,

➠ 3x = 3(12°) = 36°

➠ 7x = 7(12°) = 84°

➠ 5x = 5(12°) = 60°

Hence , the measure of all angles → 36° , 84° , 60° .

Answer 2

Step-by-step explanation:

Solution,

ratio of the angles = 3:7:5

we need to find = measure of angles

using angle sum property,

let the given ratio be 3x , 5x and 7x

by the problem,

3x + 7x + 5x = 180°

15x = 180°

x = 12

Now,

3x = 3×12 = 36°

7x = 7×12 = 84°

5x = 5×12 = 60°

so, the angles are 36° ; 84° and 60° .

⭐verification:⭐

36° + 84° + 60° = 180°

180° = 180°

⭐hence,, verified.⭐

✡extra information✡

• every triangle measures 180 degree.
• every equilateral triangle measures 60 degree each angles.
• an isosceles triangle have two equal angles and one is unequal.
• in a scalene triangle all angles of the triangle are unequal.