x = 18
Explanation:
m∠E = (8x – 16)°
m∠F = (x + 8)°
m∠G = (2x - 10)°
The three angles make up triangle EFG
m∠E + m∠F + m∠G = 180° (sum of angles in a triangle)
8x -16 + x + 8 + 2x - 10 = 180
collect like terms:
8x + x + 2x -16 + 8 - 10 = 180
11x - 18 = 180
add 18 to both sides:
11x - 18 + 18 = 180 + 18
11x = 198
divide both sides by 11:
[tex]\begin{gathered} \frac{11x}{11}\text{ = }\frac{198}{11} \\ x\text{ = }18 \end{gathered}[/tex]
