find the measure of each interrior angle of the following regular polygon .A) I nonagon
B) Decagon C) 24-gon D) I Hexagon
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We know that
each interior angle of a regular polygon
=(n-2)×180°/n
(A)each interior angle of a regular nonagon
=(9-2)×180°/9
=7×20°
=140°
(B) each interior angle of a regular Decagon
=(10-2)×180°/10
=8×18°
=144°
(C)each interior angle of a regular 24-gon
=(24-2)×180°/24
=22×180°/24
=11×180°/12
=11×15°
=165°
(D) each interior angle of a regular hexagon
=(6-2)×180°/6
=4×30°
=120°
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