Question

The sizes of the angles of a triangle are in the ratio 2:3:7. Find the value of each angle
of the triangle.
​

Answer 1

Answer:

the angles are 30° , 45° and 105°.

Step-by-step explanation:

let the angles be 2x , 3x and 7x

we know that sum of all the interior angle of a triangle is 180°

so 2x + 3x + 7x = 180°

12x = 180°

x = 15°

the angles are

2x = 2(15°) = 30°

3x = 3(15°) = 45°

7x = 7(15°) = 105°

Answer 2

Answer:

The angles are 30°, 45° and 105°.

Step-by-step explanation:

Let,

• I st angle of triangle = 2x
• II nd angle of triangle = 3x
• III rd angle of triangle = 7x

As we know,

Sum of all angles in triangle = 180°

★ According to the Question :

⇒ 2x + 3x + 7x = 180

⇒ 12x = 180

⇒ x = 180/12

⇒ x = 15

★ Value of 2x :

⇒ 2 (15)

⇒ 30

I st angle of triangle = 30°

★ Value of 3x :

⇒ 3 (15)

⇒ 45

II nd angle of triangle = 45°

★ Value of 7x :

⇒ 7 (15)

⇒ 105

III rd angle of triangle = 105°

• 30° + 45° + 105° = 180°

Therefore, the angles are 30°, 45° and 105°.