Find the missing values. Show work.

Refer to attachment. BEST ANSWER WILL GET BRAINLY! fake answers will be reported and deleted. must show work.

Find the missing values Show work Refer to attachment BEST ANSWER WILL GET BRAINLY fake answers will be reported and deleted must show work class=

Respuesta :

Answer:

16) x=13.5 17) x=17

Step-by-step explanation:

*The sum of the interior angles of a 5 sided polygon is 540 degrees.

16) The angle measures are 10x-1, 6x+5, 6x+5, 8x+9, and 8x+9. We add these values up to get 38x + 27. Because the sum of the interior angles must be 540, we set an equation of 38x + 27 = 540. From here, we can make it 38x = 513. Then we divide out the 38 and that leaves us with x = 13.5.

17) In this 5 sided polygon, the angle measures are 139, 5x, 92, 71, and 9x. Like number 16, we add these up to get a sum of 14x + 302 = 540. We subtract out the 302, leaving us with the equation 14x = 238. Finally, we divide out the 14 to get x = 17.

I hope the numbers are right since the values are a bit blurry! If not, just use the same work process to get your answer :)

#16

[tex]\\ \sf\longmapsto 2(6x+5)+2(8x+9)+10x-1=540[/tex]

[tex]\\ \sf\longmapsto 12x+10+16x+18+10x-1=540[/tex]

[tex]\\ \sf\longmapsto 38x+27=540[/tex]

[tex]\\ \sf\longmapsto 38x=513[/tex]

[tex]\\ \sf\longmapsto x=13.5[/tex]

#17

[tex]\\ \sf\longmapsto 5x+9x+139+71+92=540[/tex]

[tex]\\ \sf\longmapsto 14x+302=540[/tex]

[tex]\\ \sf\longmapsto 14x=238[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]