Respuesta :
Answer:
- x = 18
Step-by-step explanation:
Sum of interior angles of the pentagon is:
- 3x + 23 + 9x - 6 + 7x - 4 + 95 + 90 = 180(5 - 2)
- 19x + 198 = 540
- 19x = 342
- x = 342/19
- x = 18
Sum of Interior angles of a Pentagon is 540°
[tex]\\ \tt\hookrightarrow 95+3x+23+90+7x-4+9x-6=540[/tex]
[tex]\\ \tt\hookrightarrow 3x+7x+9x+95+90+23-4-6=540[/tex]
[tex]\\ \tt\hookrightarrow 19x+198=540[/tex]
[tex]\\ \tt\hookrightarrow 19x=540-198[/tex]
[tex]\\ \tt\hookrightarrow 19x=342[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{342}{19}[/tex]
[tex]\\ \tt\hookrightarrow x=18[/tex]