Question

1) if angles of a triangle are in the ratio of 1:2:3. Find the value of each
angle.

Answer is 30 ,60 , 90
but explame me step by step​

Answer 1

Answer:

30°, 60° and 90°

Step-by-Step Explanation:

Let's assume that x is a number that when multiplied by 1 and 2 and 3 gives the angles of the triangle.

The sum of all interior angles of a triangle is 180° (Angle Sum Property)

So, 1st angle = 1x

2nd angle = 2x

3rd angle = 3x

1x + 2x + 3x = 180° (Angle Sum Property)

6x = 180°

x = 180°/6

x = 30°

So, 1st angle = 1 × 30°

= 30°

2nd angle = 2 × 30°

= 60°

3rd angle = 3 × 30°

= 90°

Hope it helps