42 degrees is constructible, how do I show? At the same line, how do I...

Lorena Beard

Lorena Beard

Answered

2022-07-09

42 degrees is constructible, how do I show? At the same line, how do I show that 18 degrees has cos constructible?

Answer & Explanation

Jasper Parsons

Jasper Parsons

Expert

2022-07-10Added 7 answers

From a regular hexagon, 60 is constructible. From a regular pentagon, 72 is constructible. Hence is the difference 12 . Multiply by 4 to find 48 , then subtract from 90 to find 42 .
Start from a pentagon ( 72 ) and half the angle twice to arrive at 18

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