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 : If a regular polygon has 16 sides, then what is the measure (in degrees) of each interior angle?

Option 1: $154$

Option 2: $157 \frac{1}{2}$

Option 3: $155$

Option 4: $159 \frac{1}{2}$

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 : $A_1$ and $A_2$ are two regular polygons. The sum of all the interior angles of $A_1$ is $1080^{\circ}$. Each interior angle of $A_2$ exceeds its exterior angle by $132^{\circ}$. The sum of the number of sides $A_1$ and $A_2$ is:

Option 1: 21

Option 2: 22

Option 3: 23

Option 4: 24

Question : The interior angle of a regular polygon exceeds its exterior angle by 90°. The number of sides of the polygon is:

Option 1: 8

Option 2: 6

Option 3: 10

Option 4: 12