정오각형의 내각:정오각형의 외각=108:72 이다.
이것을 약분하면 5:2가 된다. 이때 3+2=5이 된다.
그리고 사각형에서는 내각:외각=90:90이다. 이것을 아까처럼 약분하면 1:1이다.
1:1의 양쪽에 2를 곱하면 2:2이고 2+2=4이다.
이제 질문으로 넘어가겠다.
1. 정n각형에서
n이 홀수면 외각:내각 의 비율을 서로수가 약분해 더하면 n이 될까?
2. 정n각형에서
n이 짝수면 외각:내각 의 비율을 서로수가 될 때까지 약분한 뒤 양변에 2를 각각 곱해 더하면
n이 될까?
(답은 풀이와 함께 써 주세요)
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