Basic Engineering Mathematics, Fifth Edition

174 Basic Engineering Mathematics

2. Find the anglesatofin Figure 20.27.

1058

1058

d

e

f

(c)

328

114°

b c

(b)

578

(^838) a
(a)
Figure 20.27

3. In the triangleDEFof Figure 20.28, which
   side is the hypotenuse? With reference to
   angleD, which side is the adjacent?

388

D

E F

Figure 20.28

4. In triangleDEFof Figure 20.28, determine
   angleD.


5. MNO is an isosceles triangle in which
   the unequal angle is 65◦ as shown in
   Figure 20.29. Calculate angleθ.

658

O

N

M

P



Figure 20.29

6. Determine∠φand∠xin Figure 20.30.

A

BC

E

D

x

588

19

8



Figure 20.30

7. In Figure 20.31(a) and (b), findanglesw,x,y
   andz. What is the name given to the types of
   triangle shown in (a) and (b)?

(a) (b)

1108 x y 1108

708

z

2cm

2cm



Figure 20.31

8. Find the values of angles a to g in
   Figure 20.32(a) and (b).