To determine whether the statement "The sum of all interior angles of a pentagon is 540°" is true or false, we can follow these steps:
1. Identify the Number of Sides:
A pentagon is a polygon with 5 sides.
2. Use the Formula for Sum of Interior Angles:
The formula to calculate the sum of the interior angles of a polygon with [tex]\( n \)[/tex] sides is:
[tex]\[
(n - 2) \times 180^\circ
\][/tex]
Here, [tex]\( n \)[/tex] is the number of sides.
3. Plug in the Number of Sides:
For a pentagon ([tex]\( n = 5 \)[/tex]):
[tex]\[
(5 - 2) \times 180^\circ
\][/tex]
4. Perform the Calculation:
Simplify the expression:
[tex]\[
3 \times 180^\circ = 540^\circ
\][/tex]
5. Conclusion:
Therefore, the sum of all interior angles of a pentagon is indeed 540°.
Given the calculation above, the statement:
"Hasil tambah semua sudut pedalaman bagi sebuah pentagon ialah 540°. (The sum of all interior angles of a pentagon is 540°.)"
is true.
