11.424242
isolate the repeating part
11+0.424242
focus on the repeating part
0.42424242
how many places till it repeats again?
2
let's say it is x
x=0.42424242
multiply by 100
100x=42.424242
subtract them
100x-x=42.42424242-0.42424242
the infinite repeats cancel and we get
99x=42
divide by 99

so
Answer:m∠1 = 145°
m∠2 = 35°
m∠3 = 35°
m∠4 = 145°
m∠5 = 145°
m∠6 = 35°
m∠7 = 35°
m∠8 = 145°
Step-by-step explanation:
Well 2 months and 16 days