Question

Find the measures of numbered angles in diagram

Answer 1

Answer:

20° + 20° +∠1 = 180°

∠1 = 140°   -----(i)

NOW,

∠1 + ∠ACB = 180°

140° + ∠ACB = 180°

∠ACB = 40° -----(ii)

∠ACB = ∠2 = 40° -----(iii)

∠1 = ∠2 + ∠3

140° = 40° + ∠3

∠3 = 100°