Respuesta :

Answer:

∠1 = 130°

∠2 = 50°

∠3 = 130°

Step-by-step explanation:

As we can see Angles 1 and 50° are on a straight line. As :

Angles on a straight line add up to 180. So :

50 + ∠1 = 180

∠1 = 180-50

∠1 = 130

As we can angles 1 and 2 are on a straight line. As :

Angles on a straight line add up to 180. So :

∠1 + ∠2 = 180

As we worked out ∠1 we can substitute that in to work out ∠2 :

130 + ∠2 = 180

∠2 = 180-130

∠2 = 50

As we can angles 2 and 3 are on a straight line. As :

Angles on a straight line add up to 180. So :

∠2 + ∠3 = 180

As we worked out ∠2 we can substitute that in to work out ∠3 :

50 + ∠3 = 180

∠3 = 180-50

∠3 = 130

Hope this helped and brainliest please.