9.28 Chapter 9
31. In the figure, ABC is a straight line. AB = DB and AD = CD = CB.
Let +DAC = x.
(a) Express +DBC in terms of x.
(b) Find +DAC.
32. In the figure, BDC and AEB are straight lines. AB = AC, DA = DE,
+CAD = 20c and +EDB = 10c. Find +DAE.
33. In the figure, ABCD is a square and 3ADE is an equilateral triangle.
Find i.
34. In the figure, ABCD is a straight line. AB = BC = CD = BE = CE.
Find +AED.
Level 3
35. In the figure, AEB, AFC and BDC are straight lines, and
+EDF = 50c.
(a) Express +ABC in terms of x.
(b) Express +ACB in terms of y.
(c) Find +BAC.
36. The figure shows 3ABC and 3PQR. ADEB is a
straight line. AC = AE, BC = BD, +DCE = x and
+QPR = 2x. Can +ACB and +QPR form a straight
angle? Explain your answer.
D
A C
B
x
A
B C
D
E
10°
20°
B
C
A
D
E
i
➥ Example 12
E
B C
D
A
D
A
E F
B C
x y
50°
A
D
E
x
C
B
P
R
Q
2x
Explain