Polygons

O LEVEL (P1)
POLYGONS
QUESTION'S

, 1

1 In the diagram, EAF is a straight line and F
AB is parallel to CD.
AB bisects FÂC and C ÂB = 58°.


(58
Find the value of
A
(a) x,
58°
x° B
(b) y.


Correspondinga
°
58
y
=
E

C
180
2 + 58 +58
= y°
D
58
180
-




n + 116 =




180 - 1160 64
u =
Answer (a) x = ........................................... [1]
x = 640 58
(b) y = ........................................... [1]

, 2




2 (a) The interior angle of a regular polygon is 160 °.

How many sides does it have?


In-Ginen
Ex = 20

1800
(Fact) EXO
n= 18



C
Answer (a) ........................................... [2]

(b) ABCDE…… is part of a regular polygon which has interior angles of 160 ° .
CDLM is a square.

C D


B
141V70
x°



~ y°
55
- -




55
I
S

A M
I L



Find
160 90 70
=>
=
(i) the value of x,
-

u=

(ii) the value of y.
C
55
160-70 1
= =
-

*
B 15 -




55
S
M


160 55 1058
y
=
=
-




Answer (b) (i) x = ................................ [1]

(ii) y = ................................ [1]