Question

In the given figure, if line q || line r, line p is their transversal and if a = 80^° find the values of f and g.

Answer 1

Since line q || line r and line p is their transversal, then
∠g = ∠a (Alternate exterior angles)
⇒∠g = 80^∘
Since ∠g and ∠f are forming a linear pair, then
∠f + ∠g = 180^∘ (Angles in a linear pair are supplementary)
⇒∠f = 180^∘ − ∠g
⇒∠f = 180^∘ − 80^∘ = 100^∘
Hence, the values of f and g are 100^∘ and 80^∘ respectively.