219k views
5 votes
Find the value of X please answer 4, and 5! 25 points!!!!!!!!!!!!!

Find the value of X please answer 4, and 5! 25 points!!!!!!!!!!!!!-example-1

2 Answers

5 votes

Answer:

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

User Jhovana
by
8.5k points
0 votes

Answer:

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}

User Dajung
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories