Dodecagon

Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.

Correct answer:

x =  75 °

Step-by-step explanation:

n=12 φ=n360=12360=30  A1=1 φ=1 30=30  A2=2 φ=2 30=60  A4=4 φ=4 30=120  A10=10 φ=10 30=300   s1=2A4A1=212030=45  s2=2A10A2=230060=120   x1=s2s1=12045=75  x2=180x1=18075=105   x=x1=75=75



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