The angles of a octagon are in the ratio of 1:2:3:4:5:6:7:8 . Find the smallest angle
Answers
Answer:
Smallest angle= 30 degrees
Step-by-step explanation:
1x+2x+3x+4x+5x+6x+7x+8=1080 (ASP of octagon)
36x=1080
x=1080/36
x=30
The smallest angle is, 1*30=30 degrees
Hope this helps.................
:)
The smallest angle in given Octagon is 30°
Given:
The angles of an octagon are in the ratio of 1: 2: 3: 4: 5: 6: 7: 8
To find:
Find the smallest angle
Solution:
Formula used:
Sum of interior angles = [n - 2] × 180°
Let x, 2x, 3x, 4x, 5x, 6x, 7x, and 8x be the interior angles of the Octagon
[ Since they are in 1: 2: 3: 4: 5: 6: 7: 8 ratio ]
Sum of angles = x + 2x + 3x + 4x + 5x + 6x + 7x + 8x = 36x
Using the above formula
Sum of angles in a Octagon = [8 - 2] × 180°
= [6] × 180° = 1080°
From above calculations
=> 36x = 1080°
=> x = 1080°/36
=> x = 30°
Therefore,
The smallest angle is 30°
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