Answered

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(b) Nyatakan sama ada pernyataan berikut adalah benar atau palsu.
State whether the following statement is true or false.
Hasil tambah semua sudut pedalaman bagi sebuah pentagon ialah 540°.
The sum of all interior angles of a pentagon is 540°.

Sagot :

GinnyAnswer
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.
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