Question

Find the missing values. Show work.

Answer 1

#16

$\\ \sf\longmapsto 2(6x+5)+2(8x+9)+10x-1=540$

$\\ \sf\longmapsto 12x+10+16x+18+10x-1=540$

$\\ \sf\longmapsto 38x+27=540$

$\\ \sf\longmapsto 38x=513$

$\\ \sf\longmapsto x=13.5$

#17

$\\ \sf\longmapsto 5x+9x+139+71+92=540$

$\\ \sf\longmapsto 14x+302=540$

$\\ \sf\longmapsto 14x=238$

$\\ \sf\longmapsto x=17$

Answer 2

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 :)