Question

In the adjoining figure line p II line q line t and line s are transversal. Find measure of Lx
and Ly using the measure of angles given in the figure.

Answer 1

40

∘

+u=180

∘

⇒u=140

∘

ω+u=180

∘

⇒ω=180°−u

=40°

∠z=70°(vertically opposite angles)

∠y+∠z=180°

⇒∠y=180°−∠z

180°−70°

=110°

⇒ω+x=180

∘

∴x=140

∘