Respuesta :

Answer:

option 2.

m1 = 147°   m2 = 80°   m3 = 148°

Step-by-step explanation:

a flat angle has 180 °

m1 + 33 = 180

m1 = 180 - 33

m1 = 147

47 + 33 + x = 180

x = 180 - 47 - 33

x = 100

as they are two crossed lines the angle is reflected from the opposite side

48 + 100 + y = 180

y = 180 -100 - 48

y = 32°

180 = m3 + 32

m3 = 180 - 32

m3 = 148

With the same principle as the previous one we know that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle

m2 * 2 = 360 - 100*2

m2 = 160 / 2

m2 = 80