Question

the angles of an triangle are in the ratio 5isto6isto7. findeach angle​

Answer 1

Answer:

1. angle is =50°

2. angle is = 60°

3. angle is = 70°

Answer 2

Answer:

1st angle = 50°

2nd angle = 60°

3rd angle = 70°

Step-by-Step Explanation:

A certain number should be multiplied to the ratio to get the angles. Let's assume that the certain number is 'x'

The angle sum property o a triangle states that the sum of all three interior angles of a triangle equals to 180°

1st angle = 5x

2nd angle = 6x

3rd angle = 7x

Sum of angles = 180°

5x + 6x + 7x = 180°

11x + 7x = 180°

18x = 180°

x = 180° ÷ 18

x = 10°

Hence, 1st angle = 5x

= 5 × 10°

= 50°

2nd angle = 6x

= 6 × 10°

= 60°

3rd angle = 7x

= 7 × 10°

= 70°