Question

The line p ∥ line q and the line r is their transversal, From given information in the figure find the value of x .

Answer 1

Answer:

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.