The Number of diagonals of a regular polygon which has an interior angle 144° is _______
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2
Answer:
●Exterior angle = 180 - Interior angle = 180 - 144 = 36
Total sum of the exterior angles of a polygon = 360
Therefore no. of sides N = 360 / 36 = 10 sides
It’s a decagon.
●Decagon has 35 diagonal
Formula to find diagonal = n ( n - 3 ) / 2
let find the diagonal of decagon
we know that decagon = 10 sides
n ( n - 3 ) / 2
10 ( 10 - 3 ) / 2
10 × 7 / 2
70 / 2
35
Hope it helps to you!!
Answered by
0
Answer:
35 diagonals
Step-by-step explanation:
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