174 Basic Engineering Mathematics
2. Find the angles a to f in Figure 20.27.
1058
1058
d
e
f
(c)
328
114°
b
c
(b)
578
838
a
(a)
Figure 20.27
3. In the triangle DEF of Figure 20.28, which
side is the hypotenuse? With reference to
angle D, which side is the adjacent?
388
D
E
F
Figure 20.28
4. In triangle DEF of Figure 20.28, determine
angle D.
5. MNO is an isosceles triangle in which
the unequal angle is 65 ◦ as shown in
Figure 20.29. Calculate angle θ.
658
O
N
M
P
Figure 20.29
6. Determine ∠φ and ∠x in Figure 20.30.
A
B
C
E
D
x
588
1 9 8
Figure 20.30
7. In Figure 20.31(a) and (b), find angles w, x, y
and z. What is the name given to the types of
triangle shown in (a) and (b)?
(a)
(b)
1108
1108
x
y
708
z
2 cm
2 cm
Figure 20.31
8. Find the values of angles a to g in
Figure 20.32(a) and (b).
2. Find the angles a to f in Figure 20.27.
1058
1058
d
e
f
(c)
328
114°
b
c
(b)
578
838
a
(a)
Figure 20.27
3. In the triangle DEF of Figure 20.28, which
side is the hypotenuse? With reference to
angle D, which side is the adjacent?
388
D
E
F
Figure 20.28
4. In triangle DEF of Figure 20.28, determine
angle D.
5. MNO is an isosceles triangle in which
the unequal angle is 65 ◦ as shown in
Figure 20.29. Calculate angle θ.
658
O
N
M
P
Figure 20.29
6. Determine ∠φ and ∠x in Figure 20.30.
A
B
C
E
D
x
588
1 9 8
Figure 20.30
7. In Figure 20.31(a) and (b), find angles w, x, y
and z. What is the name given to the types of
triangle shown in (a) and (b)?
(a)
(b)
1108
1108
x
y
708
z
2 cm
2 cm
Figure 20.31
8. Find the values of angles a to g in
Figure 20.32(a) and (b).