If we double the sides of a hexagon, the sum of all interior angles will a. Double b. Increase 6 times, c. Triple d. Nome of these
Pls explain
for any polygon of n sides, the sum of the angles is (n-2)*180
If there are 2n sides, the new sum is (2n-2)*180
so, what do you say?
To find the answer to this question, we need to know the relationship between the sides and the interior angles of a regular hexagon.
A regular hexagon is a polygon with six equal sides and six equal interior angles. Each interior angle of a regular hexagon measures 120 degrees.
Now, let's consider what happens when we double the sides of a hexagon. Doubling the sides means each side will become twice as long.
When the sides of a hexagon are doubled, the shape formed is a similar hexagon with corresponding angles that are congruent. In other words, the interior angles of the new hexagon will also measure 120 degrees.
Therefore, doubling the sides of a hexagon does not change the measure of its interior angles.
Hence, the sum of all interior angles of the new hexagon will remain the same as the original hexagon, and the correct answer is d. None of these.