Question

in the given figure find x​

Answer 1

Answer:

1st angle = 65°

2nd angle = 35°

3rd angle = 80°

Step-By-Step Explanation:

The Angle Sum Property of a triangle states that the sum of all interior angles of a triangle is 180°

1st angle = (2x + 15)°

2nd angle = (x + 10)°

3rd angle = (3x + 5)°

Sum = 180°

(2x + 15) + (x + 10) + (3x + 5) = 180°

2x + 15 + x + 10 + 3x + 5 = 180°

2x + x + 3x + 15 + 10 + 5 = 180°

6x + 30 = 180°

6x = 180° - 30

6x = 150°

x = 150° ÷ 6

x = 25°

Hence, 1st angle = (2x + 15)°

= 2 × 25 + 15°

= 50° + 15°

= 65°

2nd angle = (x + 10)°

= 25° + 10°

= 35°

3rd angle = (3x + 5)°

= 3 × 25 + 5°

= 75 + 5°

= 80°

Hope it helps