The measure of each exterior anglr of a regular hexagon is 60°.calculate the measrure of each interior angle.
Answers
Mark brilliant
ANSWER
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In a regular hexagon, all angles are of same measure(equiangular) and length of each side is same(equilateral).
Each interior angle of regular hexagon is 60
o
.
In every polygon, sum of interior angle and its corresponding exterior angle is 180
o
.
∴ Measure of exterior angle 180
o
−120
o
=60
o
Hence, each exterior angle of a regular hexagon is of 60
o
.
Answer:
A hexagon has 6 sides
Sum of interior angles of a polygon=(2n-4)×90
Therefore,Sum of interior angles of a hexagon=(2(6)-4)×90
=(12-4)×90
=8×90
=720
Since,each interior angle=Sum of interior angles of polygon/number of sides
Each interior angle=720/6
=120°