Measure of all Interior Angle of a Regular Polygon

Q. Find the measure of interior angle of a regular hexadecagon.

degrees

Q. The measure of each interior angle of a regular octagon is

1. ${140}^{\circ }$
2. ${135}^{\circ }$
3. ${210}^{\circ }$

Q. The sum of the measures of interior angles of a regular pentagon is ${540}^{\circ }$. The value of an each interior angle is

1. ${108}^{\circ }$
2. ${124}^{\circ }$
3. ${110}^{\circ }$
4. ${54}^{\circ }$

Q. Find the angle $\angle FBA$ if $ABCDE$ is a regular polygon.

1. ${30}^o$
2. ${36}^o$
3. ${72}^o$
4. Insufficient data

Q. The correct formula(s) to find the measure of interior angle of a $n-$sided regular polygon is/are:

1. $\frac{(n-2){180}^o}{n}$
2. $\frac{(n-2){360}^o}{n}$
3. ${180}^o-\frac{\text{Sum of exterior angles}}{n}$
4. ${360}^o-\frac{\text{Sum of exterio angles}}{n}$

Q.
$ABandBC$ are the sides of a regular pentagon. $CDandDE$ are the sides of a regular hexagon. If $OBandOD$ are the angle bisectors of $\angle ABCand\angle CDE,$ $and\angle BOD={126}^{\circ },$ then find the measure of $\angle BCD$.

1. ${60}^{\circ }$
2. ${120}^{\circ }$
3. ${100}^{\circ }$
4. ${80}^{\circ }$

Q. The measure of each interior angle of a regular polygon is ${160}^{\circ }$, the number of sides of the polygon are

1. $20$
2. $18$
3. $15$
4. $16$

Q. Determine the angle ∠FCE for the regular polygon ABCDEF.


degrees.

Q. Choose the correct pair(s) of sum of interior angles of a regular polygon and the measure of each interior angle, respectively.

1. ${720}^o,{120}^o$
2. ${900}^o,{128.7}^o$
3. ${360}^o,{90}^o$
4. ${120}^o,{60}^o$

Q. Determine the value of each interior angle (in degrees) of a regular decagon.

1. 144