Hexagon

Q.

Find the ratio between the exterior angles of a regular hexagon and regular pentagon.

1. 6: 5

2. 5: 6

3. 7: 5

4. 5: 7

Q.

Five angles of a hexagon are equal. If the sixth angle measures ${145}^{\circ }$, then the measure of each of the five angles is

1. 30

2. 40

3. 60

4. 50

Q.

If the interior angle of a regular polygon is double the exterior angle, the polygon has ___sides.

1. 8

2. 7

3. 5

4. 6

Q.

The sum of the interior angles of a polygon is$2160°$. How many sides does this polygon have ?

Q.

The number of triangles formed by joining the diagonals of a hexagon is ___.

Q.

Is it possible to have a polygon whose sum of interior angle is seven right angles?

1. Yes

2. No

Q.

Three exterior angles of a hexagen are ${40}^{\circ },{51}^{\circ }$ and ${86}^{\circ }$. If each of the remaining exterior angles are $x^{\circ }$, then x = ___.

1. 54°

2. 36°

3. 18°

4. 44°

Q.

The angles of a heptagon are $(x-5)°,(x+3)°,(5x-6)°,(2x+5)°,(x+8)°,(2x+9)°and(3x+1)°$. The value of$x$ is

1. $59$

2. $58$

3. $60$

4. $61$

Q. If the sum of measures of two angles of a hexagon is ${220}^{\circ }$, then the sum of the measures of the other four angles is

1. ${800}^{\circ }$
2. ${700}^{\circ }$
3. ${600}^{\circ }$
4. ${500}^{\circ }$