Question : If one of the interior angles of a regular polygon is $\frac{15}{16}$ times of one of the interior angles of a regular decagon, then find the number of diagonals of the polygon.

Option 1: 20

Option 2: 14

Option 3: 2

Option 4: 35

Question : The interior angle of a regular polygon exceeds its exterior angle by 108$^\circ$. The number of the sides of the polygon is:

Option 1: 12

Option 2: 16

Option 3: 14

Option 4: 10

Question : The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $128 \frac{4}{7}$ degrees. The sum of the number of sides of polygons A and B is:

Option 1: 17

Option 2: 16

Option 3: 19

Option 4: 18

Question : If the external angle of a regular polygon is 18°, then the number of diagonals in this polygon is:

Option 1: 180

Option 2: 150

Option 3: 170

Option 4: 140

Question : If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$, find the number of sides of the polygon.

Option 1: 8

Option 2: 12

Option 3: 10

Option 4: 14