Answer:
x = 108
Step-by-step explanation:
[tex]x^o\ \text{and}\ \left(\dfrac{2}{3}x\right)^o\ \text{are suplementary angles, therefore}\\\\x^2+\left(\dfrac{2}{3}x\right)^o=180^o\\\\x+\dfrac{2}{3}x=180\qquad\text{multiply both sides by 3}\\\\3x+2x=540\\\\5x=540\qquad\text{divide both sides by 5}\\\\x=108[/tex]
