Question

Find the value of X please answer 4, and 5! 25 points!!!!!!!!!!!!!

Answer 1

4.) You need 720 degrees sum for 6 sided polygon.

5.) You need 540 degrees for a 5 sided polygon.

Explanation:

4.) -

120 + 156 + 145 + 90= 511

720 - 511 = 209.

209 - 9 = 200

200 / 2 = 100

X is equivalent to 100 Degrees

-

5.) -

Since X is the same for all sides we'll take 60 from 540 = 480

480 / 4 = 120

X = 120

Answer 2

4) 100

5) 120

Explanation:

Finding unknown angle in polygon:

4) Number of sides in the polygon = n = 6

Sum of all the angles of n-sided polygon = (n -2)* 180

= (6 - 2) *180

= 4 * 180

= 720

x + x + 9 + 90 + 120 +156 + 145 = 720

Combine like terms,

2x + 520 = 720

Subtract 520 from both sides,

2x = 720 - 520

2x = 200

Divide both sides by 2,

x = 200÷2

`\sf \boxed{x = 100^\circ}`

5) Sum of all the angles of 5 sided polygon = ( 5 - 2)*180

= 3 * 180

= 540

x + x + x + x + 60 = 540

4x + 60 = 540

4x = 540 - 60

4x = 480

x = 480 ÷ 4

`\sf \boxed{x = 120^\circ}`