Answer is x = 27
The three angles are 64, 67 and 49
Step by step
The sum of the angles of a triangle equal 180
We can add the three angles and solve
64
x + 40
2x -5
64 + x + 40 + 2x - 5 = 180
Combine like terms
3x + 99 = 180
Subtract 99 from both sides to isolate x
3x + 99 - 99 = 180 - 99
3x = 81
Divide both sides by 3 to solve for x
3/3 x = 81/3
x = 27
Now we can substitute the value of x into each angle equation
x + 40
27 + 40 = 67
2x -5
(2)(27) - 5
54 - 5 = 49
The three angles are 64, 67 and 49
Add them together = 180
Problem solved!