Question

if p || q and r is the transversal, /1 =70° then /2 =

​

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.

Answer 2

Answer:

/2 will also be 70° according to the exterior angle property.