Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Given the problem involves finding the sum of the interior angles of a convex [tex]$n$[/tex]-gon where [tex]$n$[/tex] is the number of sides of the polygon.
Step-by-step, here's the solution:
1. Identify the number of sides:
- For a quadrilateral, the number of sides [tex]$n = 4$[/tex].
2. Recall the formula for the sum of interior angles for a convex [tex]$n$[/tex]-gon:
- The formula is \( 180^{\circ}(n - 2) \).
3. Substitute \( n = 4 \) into the formula:
- \( 180^{\circ}(n - 2) = 180^{\circ}(4 - 2) \).
4. Simplify the expression:
- \( 180^{\circ}(4 - 2) = 180^{\circ} \times 2 = 360^{\circ} \).
Thus, the sum of the interior angles for a quadrilateral [tex]$L M N P$[/tex] is \( 360^{\circ} \).
Since this sum of angles represents \( x \):
[tex]\[ x = 360^{\circ} \][/tex]
So, the value of \( x \) is:
[tex]\[ x = 360^{\circ} \][/tex]
Step-by-step, here's the solution:
1. Identify the number of sides:
- For a quadrilateral, the number of sides [tex]$n = 4$[/tex].
2. Recall the formula for the sum of interior angles for a convex [tex]$n$[/tex]-gon:
- The formula is \( 180^{\circ}(n - 2) \).
3. Substitute \( n = 4 \) into the formula:
- \( 180^{\circ}(n - 2) = 180^{\circ}(4 - 2) \).
4. Simplify the expression:
- \( 180^{\circ}(4 - 2) = 180^{\circ} \times 2 = 360^{\circ} \).
Thus, the sum of the interior angles for a quadrilateral [tex]$L M N P$[/tex] is \( 360^{\circ} \).
Since this sum of angles represents \( x \):
[tex]\[ x = 360^{\circ} \][/tex]
So, the value of \( x \) is:
[tex]\[ x = 360^{\circ} \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.