An exterior angle measure of a regular polygon is given. Find the number of its sides and the measure of each interior angle. 60 °(this is the extirior angle) The regular polygon has __ sides and each of its interior angles measures ___ °.
2 answers:
The size of interior angle=180-60=120°(angles at a point) The equation to calculate the total angle measure of a polygon is ((number of sides)-2)×180° Let x be the number of size (x-2)×180°=120x x-2=2x/3 3(x-2)=2x 3x-6=2x x=6 So the polygon has 6 sides and each interior angle is 120°
Sum of all exterior angles = 360°. Each exterior angle = 60°. Number of sides = 360 ÷ 60 = 6 Each interior angle = 180 - 60 = 120°. Answer: <span>The regular polygon has 6 sides and each of its interior angles measures 120° .</span>
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