Question

in the given figure find the values of X Y and Z if a b is parallel to CD

Answer 1

Step-by-step explanation:

in OPQ,

angle P = 80°

angle Q = 40°

angle O = ?

P+Q+O = 180°

80°+40°+O = 180°

120°+O = 180°

O = 180°-120°

O = 60°

y = 60°

then x = z

x + y + z =180° (linear pair)

x + 60° + x = 180°

2x = 180°-60°

x = 120°/2

x = 60°

.°. x = 60°

y = 60°

z = 60°