Question

7. In Figure 7a and 7b, AB||CD. Determine the values of x,y and z.
B
A
i.
P
B
у
70°
1
80°
40°
le
100°
D
.
Q
R D
Fig. 7b
Fig. 7a​

Answer 1

Answer:

7a. x=70°, y=30°,z=80°.

7b. x=80°, y=60°, z=40°.

Step-by-step explanation:

7a.

x=70°

Alternate interior angles

70+y=100°

y=30°

Alternate interior angles

x+y+z=180°

100+z=180°

z=80°.

7b.

x=80°

Alternate interior angles

z=40°

Alternate interior angles

x+y+z=180°

120+y=180°

y=60°