Question

The sum of the angle measures of the polygon is 540. write and solve an equation to find the value of x

(angles 85 (5x) (5x) (5x -10) (5x +5)

Answer 1

Explanation:

• 85+5x+5x+(5x -10)+(5x +5)=540
• 85+5x+5x+5x -10+5x +5=540
• 80+20x=540
• 20x=540-80
• 20x=460
• x=460/20
• x=23

Answer 2

`\\ \sf\longmapsto 85+5x+5x+5x-10+5x+5=540`

`\\ \sf\longmapsto 5x+5x+5x+5x+85-10+5=540`

`\\ \sf\longmapsto 20x+80=540`

`\\ \sf\longmapsto 20x=540-80=460`

`\\ \sf\longmapsto x=(460)/(20)`

`\\ \sf\longmapsto x=23`