Question

∠2≅∠4, m∠2=110°. Find the measures of angles 1, 3, and 4 and explain how you know.

Answer 1

Answer: ∠1 =70° ; ∠3 = 70° ; ∠4 = 110°

Explanation:

∠2 ≅ ∠4 = 110° [exterior alternate angles are equal]

∠1 = 180° - 110° = 70° [since angles on a line have a sum of 180°]

∠1 = ∠3 = 70° [since vertically opposite angles are equal]