Question

answer:100,32,48 how​

Answer 1

Answer:

32°, 48° , 100°

Step-by-step explanation:

There is property according to which, sum of two interior angles is equal to the opposite exterior angle.(here, 2x + 3x = 80°)

⇒ 5x = 80°       ⇒ x = 16°

Therefore, angles are

2x = 2(16°) = 32°  and 3x = 3(16) = 48°

Remaining angle can be given using the statement 'sum of angles of triangle is 180°'

∠BAC = 180° - 32° - 48° = 100°

Alternatively,

sum of angles on a line = 180°

  ⇒ ∠BAD + ∠BAC = 180°

  ⇒ ∠BAC = 180° - 80° = 100°

sum of angles in a triangle = 180°

⇒ ∠BAC + ∠ABC + ∠ACB = 180°

⇒ 100° + 2x + 3x = 180°

⇒ 5x = 80°

⇒ x = 16°

      hence, angles are

100°  , 2x = 32°   , 3x = 48°