Question

Find all the three angles of the triangle shown below. Is it possible to have such a triangle?Justify​

Answer 1

Answer:

Such type of a triangle is not possible.

Step-by-step explanation:

By Angle Sum Property of triangle,    (Sum of all angles in triangle is 180°)

(7 - x)° + (3x - 5)° + (2x + 6)° = 180°

=> (7 - x + 3x - 5 + 2x + 6)° = 180°

=> 8 + 4x = 180°

=> 2 + x = 45°       (Dividing whole equation by 4)

∴ x = 45 - 2 => 43°

Thus, angles are 7 - x => 7 - 43 => -36°

3x - 5 => 3(43) - 5 => 124°

2x + 6 = 2(43) + 6 => 92°

As a triangle can't have 2 obtuse angles AND/OR a negative angle, such a triangle is not possible.