Question 4 - Figure it out - Pag 144, 145 - Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II)

Transcript

Question 4 What are the other angles that can be constructed using angle bisection? Can you construct 65.5° angle?We can construct any angle that is a half of a standard angle. Start with 〖𝟔𝟎〗^∘ → Bisect to get 〖𝟑𝟎〗^∘→〖𝟏𝟓〗^∘→〖𝟕.𝟓〗^∘ Start with 〖𝟗𝟎〗^∘→ Bisect to get 〖𝟒𝟓〗^∘→〖𝟐𝟐.𝟓〗^∘ Now, the question asks Can you construct 〖65.5〗^∘ ? No, not with just a ruler and compass. This is because Ruler and compass constructions work for angles that are multiples of 𝟑^∘ (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!