Polygons 10.45
Exam-type Questions
1. In the figure, ABCDEF is a regular hexagon.
Find p + q.
A F
E
D
C
B
p
q
2. In the figure, a and b are
A. exterior angles of the
quadrilateral.
B. interior angles of the
quadrilateral.
C. vertically opposite
angles.
D. corresponding angles.
3. In which of the following figures is i an
exterior angle of the triangle?
A. C.
i
i
B. D.
i
i
4. In which of the following figures is x an
interior angle of the pentagon?
A. C.
x
x
B. D.
x
x
5. If each exterior angle of a regular n-sided
polygon is 24c, which of the following are
true?
I. The value of n is 15.
II. The ratio of the size of each interior angle
of the polygon to that of each exterior
angle is 13 : 2.
III. The sum of the interior angles of the
polygon is 2 700c.
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
6. In the figure, ABCDEFGHI is a regular
nonagon. Which of the following are true?
A
F
G
H
I
E
D
C
B
I. 3ABC , 3EDC
II. AC = CE
III. +AEF = 80c
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
a
b
10.46 Chapter 10
Public Exam Questions
HKDSE 2018 (A)
1. In the figure, ABCDE is a regular pentagon.
AD and CE intersect at the point F. Which
of the following are true?
D
C
B A
E
F
I. CD = CF
II. 3ABF , 3CBF
III. +AFB + +EAF = 90c
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
HKDSE 2016 (A)
2. If the sum of the interior angles of a regular
n-sided polygon is 3 240c, which of the
following is true?
A. The value of n is 16.
B. Each exterior angle of the polygon is
18c.
C. The number of diagonals of the polygon
is 20.
D. Each interior angle of the polygon is
160c.
HKDSE 2014 (A)
3. If an interior angle of a regular n-sided
polygon is greater than an exterior angle by
100c, which of the following are true?
I. The value of n is 10.
II. Each exterior angle of the polygon is 40c.
III. The number of axes of reflectional
symmetry of the polygon is 9.
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
HKDSE 2012 (A)
4. Which of the following statements about a
regular 12-sided polygon are true?
I. Each exterior angle is 30c.
II. Each interior angle is 150c.
III. The number of axes of reflectional
symmetry is 6.
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
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Book 2B Ch.10• P.10.45, 10.46