[Maths] What are the other angles that can be constructed using angle - Figure it out - Pag 144, 145

part 2 - Question 4 - Figure it out - Pag 144, 145 - Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II) - Class 7 (Ganita Prakash 1, 2 & old NCERT)

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Question 4 What are the other angles that can be constructed using angle bisection? Can you construct 65.5Β° angle?We can construct any angle that is a half of a standard angle. Start with γ€–πŸ”πŸŽγ€—^∘ β†’ Bisect to get γ€–πŸ‘πŸŽγ€—^βˆ˜β†’γ€–πŸπŸ“γ€—^βˆ˜β†’γ€–πŸ•.πŸ“γ€—^∘ Start with γ€–πŸ—πŸŽγ€—^βˆ˜β†’ Bisect to get γ€–πŸ’πŸ“γ€—^βˆ˜β†’γ€–πŸπŸ.πŸ“γ€—^∘ Now, the question asks Can you construct γ€–65.5γ€—^∘ ? No, not with just a ruler and compass. This is because Ruler and compass constructions work for angles that are multiples of πŸ‘^∘ (like 15, 30, 45, 60…) If we double 65.5 , you get 131 Since 131 is not divisible by 3 , we cannot build this angle using standard geometric construction methods We would need a protractor for this one!

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