Question

11. The three angles of a triangle
in the ratio 1:2:1. Find all the angles of the triangle.
​

Answer 1

Answer:

Let the angles of the triangles be x,2x,x

So, 

As we know the sum of internal angles of a triangle is 180. so,

x+2x+x = 180

4x = 180

x = 45

Hence the angles of the triangles are 45,90,45

Answer 2

$\huge \sf \orange{Question :–}$

★ The three angles of a triangle in the ratio 1:2:1. Find all the angles of the triangle.

$\huge \sf \orange{Solution :–}$

Let,

• 1st angle be x.
• 2nd angle be 2x.
• 3rd angle be x.

So,

Sum of all the angles of a triangle = 180°

➫ x + 2x + x = 180°

➫ 4x = 180°

➫ x = $\frac{\cancel{180}}{\cancel4}$

➫ x = 45°

Hence,

• 1st angle = x = 45°
• 2nd angle = 2x = 2 × 45° = 90°
• 3rd angle = x = 45°