Answer :

Answer:

C. ∡3

A. ∡2

Step-by-step explanation:

From the diagram, the remote interior angles of ∡ 1 is ∡3 and ∡2

Prove

∡1 = ∡3 + ∡2

∡1 + ∡4 = 180° --- (1) (angles in a str. line)

In the triangle:
∡4 + ∡3 + ∡2 = 180° ( total angles in a triangle)

∡4 = 180 - ∡3 - ∡2 --- (2)

Substituting  ∡4 = 180 - ∡3 - ∡2 into eqn (1)

∡1 + 180 - ∡3 - ∡2 = 180

∡1 = 180 - 180 + ∡3 + ∡2

∡1 = ∡3 + ∡2

Therefore, the remote interior angles are:

  • C. ∡3
  • A. ∡2