ARCHITECTURE In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This room is shaped like a regular octagon. What angle do consecutive walls of the Tribune make with each other?
Answers
Given :- ARCHITECTURE In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This room is shaped like a regular octagon. What angle do consecutive walls of the Tribune make with each other?
Answer :-
we know that,
- Interior angles of a regular polygon = (n - 2) * 180° /n .
- Octagon = 8 sides .
so,
→ n = 8
then,
→ Measure of each angle = (8 - 2) * 180° / 8 = 6 * 180°/ 8 = 1080/8 = 135° (Ans.)
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Given : ARCHITECTURE In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian).
This room is shaped like a regular octagon.
To Find : What angle do consecutive walls of the Tribune make with each other
Solution:
regular octagon. has all 8 sides equal and all 8 interior angles equal .
interior angle of polygon is given by ( n- 2) * 180° / n
where n is number of sides
n = 8 as its octagon
angle consecutive walls of the tribune make with each other
= ( 8- 2) * 180° /8
= 6 * 180° /8
= 3 * 180° /4
= 3 * 45°
= 135°
angle consecutive walls of the tribune make with each other = 135°
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