Permai School
Mathematics Sec 1 – Term 3
Ch. 11 Triangles, Quadrilaterals and Polygons
Name : __________________ Date : _______________
Class : _________
1.
R
y° Diagram NOT
P Q accurately drawn
PQ is a straight line.
126° x°
(a) Work out the size of the angle marked x°.
..............................°
(b) (i) Work out the size of the angle marked y°.
..............................°
(ii) Give reasons for your answer.
...................................................................................................................
...................................................................................................................
(3)
(4 marks)
2.
120º 140º
58º
Diagram NOT accurately drawn
Work out the size of the angle a.
........................................°
(2 marks)
3.
B
60º
50º x
A C D
Diagram NOT accurately drawn
In the diagram, ABC is a triangle.
ACD is a straight line.
Angle CAB = 50°.
Angle ABC = 60°.
Work out the size of the angle marked x.
....................................°
(2 marks)
4.
P
x°
Q 23° R
Diagram NOT accurately drawn
PQR is an isosceles triangle.
PQ = PR.
Angle R = 23°.
Work out the value of x.
x = ...............................
(2 marks)
5.
50°
A
p 70°
B C
Diagram NOT accurately drawn
ABC is a triangle.
Work out the size of the angle marked p.
p = .....................°
(2 marks)
6.
S
xº 50º
P Q R
Diagram NOT accurately drawn
PQR is a straight line.
SQ = SR.
(i) Work out the size of the angle marked x°
..........................°
(ii) Give reasons for your answer.
...........................................................................................................................
...........................................................................................................................
(3 marks)
7.
108º
xº 43º yº
Diagram NOT accurately drawn
(a) Work out the value of x.
x = ………….
(1)
(b) Work out the value of y.
y = ………….
(2)
(3 marks)
8.
A
Diagram NOT
accurately drawn
x 62°
B C D
Triangle ABC is isosceles, with AC = BC.
Angle ACD = 620.
BCD is a straight line.
Work out the size of angle x.
x = ………………0
(2 marks)
9.
S
w y
25º x
P Q R
Diagram NOT accurately drawn
PQR is a straight line.
PQ = QS = QR. Angle SPQ = 25°.
(a) (i) Write down the size of angle w.
......................................°
(ii) Work out the size of angle x.
......................................°
(b) Work out the size of angle y.
......................................°
(4 marks)
10.
Diagram
NOT accurately drawn Work out the value of x.
x = ………………...
(3 marks)
11.
D
y° Diagram NOT
accurately drawn
70° x°
A B C
ABD is a triangle. ABC is a straight line. Angle ABD = 70°. AD = BD.
(a) (i) Work out the value of x.
x = ....................................
(ii) Give a reason for your answer.
.......................................................................................................................
(2)
(b) (i) Work out the value of y.
y = ....................................
(ii) Give a reason for your answer.
...........................................................................................................................
...........................................................................................................................
(3)
(5 marks)
12.
a° DiagramNOT
accurately drawn
65° 138°
Work out the value of a.
a = .............................
(3 marks)
13.
Diagram NOT accurately drawn
In the diagram, ABC is a straight line and BD = CD.
(a) Work out the size of angle x.
....................................º
(2)
(b) Work out the size of angle y.
....................................º
(3)
(5 marks)
