Verified answer

Answer:  1800

Step-by-step explanation:

Answer:

Find the number of sides of a polygon given the sum of the measures of its interior angles.

1. 1800 °      → n = 12

2. 5400 °    → n = 32

3. 3600 °    → n = 22

Explanation:

Sum of the interior angle = 180° (n-2)

1.  1800 °

1800 ° = 180°  (n-2)

1800 ° = 180°  (n-2)

1800 ° = 180n -360 °

1800 °+360 ° = 180n

2160 ° = 180n

n=12

2. 5400 °

5400 ° = 180°  (n-2)

5400 ° = 180n -360 °

5400 °+360 ° = 180n

5760 ° = 180n

n = 33

3. 3600 °

3600 ° = 180°  (n-2)

3600 ° = 180n -360

3600 ° +360 ° = 180n

3960 °= 180n

n = 22