Answer:
x = 9
Step-by-step explanation:
We know sum of interior angles of a polygon = [tex](n-2)\times 180[/tex]
For a triangle (having n = 3),
Sum of interior angles = (3 - 2)×180°
= 180°
In ΔVWX,
m∠V = (12x + 19)°
m∠W = (2x + 19)°
m∠X = (x + 7)°
And m∠V + m∠W + m∠X = 180°
(12x + 19)° + (2x + 19)° + (x + 7)° = 180°
(12x + 2x + x) + (19 + 19 + 7) = 180°
15x + 45° = 180°
15x = 180° - 45°
x = [tex]\frac{135}{15}[/tex]
x = 9
Therefore, value of x = 9.
