Question

In Fig. 8.14, answer the following questions :
(1) Do ZAOB and BOC form a linear pair?
(1) Are ZAOB and ZCOD vertically opposite angles?
(ii) Do ZAOD and DOC form a linear pair?
D
120
85°
80°
B
С C
nsversal
Fig. 8.14​

Answer 1

Step-by-step explanation:

∠BOD + ∠DOF + ∠FOA = 180° (Linear pair)

∴ ∠FOA = ∠u = 180°-90°-50°=40°

∠FOA=∠x=40° (Vertically opposite angles)

∠BOD=∠z=90° (Vertically opposite angles)

∠EOC=∠y=50° (Vertically opposite angles)