Question

What is the value of x ?

Answer 1

x = 108

Explanation:

`x^o\ \text{and}\ \left((2)/(3)x\right)^o\ \text{are suplementary angles, therefore}\\\\x^2+\left((2)/(3)x\right)^o=180^o\\\\x+(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`