Question

Please explain step by step

Answer 1

`{x}^(o) = {30}^(o)`

Explanation:

Hint :

Sum of angles in triangle = 180°

Solution :

`{x}^(o) + {2x}^(o) + {3x}^(o) = {180}^(o) \\ {6x}^(o) = {180}^(o) \\ {x}^(o) = \frac{ {180}^(o) }{ 6 } \\ {x}^(o) = {30}^(o)`

`{2x}^(o) = {30}^(o) * 2 \\ = {60}^(o)`

`{3x}^(o) = {30}^(o) - 3 \\ {90}^(o)`

Hope it is helpful....

Answer 2

Explanation:

Sum of all angle in triangle = 180

x + 2x + 3x = 180

6x = 180

x = 180/6

x = 30