10th grade geometry urgent.. this makes no sense to me and i'm struggling

1. m∠8 = 30°  2. m∠5 = 27°  3. m∠1=m∠8    4. m∠3=m∠7

m∠6 = 180-120

m∠6 = 60

if m∠1 is 120 and m∠6 is 60, it is true because m∠2 and m∠1 are linear pairs/supplementary, so when you set them = 180 and solve for m∠2, you'll get 60. and because corresponding angles are equal and angle 6 and 2 corresponds, m∠6 will be the same measure as m∠2

Step-by-step explanation: