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dolphi86 [110]
3 years ago
10

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 ___ °.
Mathematics
2 answers:
Ostrovityanka [42]3 years ago
7 0
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°
Korvikt [17]3 years ago
5 0
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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