Express the angular measurement of the angle of a regular decagon in the degrees, grades and radians.

Explanation

We know that the angle of an n sided regular Polygon is equal to` ( 2 n − 4)/n ` right angles.


Let `θ` be the angle of a regular decagon.


Then, ` θ = ( 2 × 10 − 4)/10 = 8/5` right angles


` ∴ θ = ( 8/5 × 90 )^@ = 144^@` [∴ 1 right angle = `90^@`]


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