Angles in polygons: practice

3 marksCore skill

A pentagon has 4 of its angles equal to

96^\circ

,

118^\circ

,

104^\circ

,

87^\circ

. Find the size of the remaining angle.

[3]

3 marksCore skill

A hexagon has 5 of its angles equal to

130^\circ

,

115^\circ

,

142^\circ

,

98^\circ

,

121^\circ

. Find the size of the remaining angle.

[3]

3 marksCore skill

A quadrilateral has 3 of its angles equal to

74^\circ

,

113^\circ

,

96^\circ

. Find the size of the remaining angle.

[3]

3 marksCore skill

(a)

Find the size of each exterior angle of a regular octagon.

[2]

(b)

Find the size of each interior angle.

[1]

3 marksCore skill

(a)

Find the size of each exterior angle of a regular dodecagon.

[2]

(b)

Find the size of each interior angle.

[1]

3 marksCore skill

(a)

Find the size of each exterior angle of a regular decagon.

[2]

(b)

Find the size of each interior angle.

[1]

3 marksCore skill

Each interior angle of a regular polygon is

156^\circ

. How many sides does it have?

[3]

3 marksCore skill

Each interior angle of a regular polygon is

165^\circ

. How many sides does it have?

[3]

3 marksProblem solving

A square and a regular octagon meet at a point, sharing a side. Find the angle of the gap left at that point.

[3]

3 marksProblem solving

Two regular pentagons meet at a point, sharing a side. Find the angle of the gap left at that point.

[3]