Pre-Algebra help, plz help me!!!!?

Question

What is the measure of each angle in a regular hexagon? I dont even understand this question, could you plz help me??? thanx!!!:)

Answer 1

regular polygon is defined as polygon having all it's sides and angles equal.

measure of angle = 90* (2n - 4)/n all divided by n

where n is sides of regular polygon.

Answer 2

Don't worry, this is simple once you know what a 'regular' shape is.

A regular shape is one where all the angles and so all the sides are the same.

For a regular triangle (called an equilateral triangle), all the sides will be the same length and every angle where the sides meet will be 60 degrees. You can try it yourself by drawing one and using a protractor to measure the inside angles.

With this in mind, it is a fact that all the angles within any triangle will add up to 180°. This is very useful in determining the angles within other regular shapes.

A square is always a regular shape, because the sides are always equal and the angles at each corner are always 90° (also called right angles). If you add up the four corners you get 360°.
Here is where using triangles becomes useful.

If you draw a line from one corner to the exact opposite corner of a square, you will divide it into 2 triangles. We already know that the angles of a triangle will total 180°. So therefore it fits that all the angles from 2 triangles (2 x 180°) will add up to 360° - the same as the square they are sitting in.

Back to hexagons. A regular hexagon will then have all the same length sides and every angle between those sides will be same.
All you have to do is find out how many triangles will fit into a hexagon, by drawing lines from only one corner to all the other corners. You should be able to draw 3 lines, making 4 triangles that make up the hexagon. 4 x 180° = 720° for the total amount of degrees inside the hexagon.

As it has 6 angles, and you just need to find one (all 6 will be the same and equal as it is a regular shape), you just divide the total by 6.

So 720° divided by 6 = 120°.

Each angle in a regular hexagon is 120°.

Answer 3

First of all, make sure you know how many sides a hexagon has. To be a REGULAR hexagon means that all the sides are the same length and all the angles are the same size. To find the measure of the angles, use the formula:

measure of angle = 180 (n - 2) all divided by n
Where n is the number of sides of the figure.

Just plug in the number of sizes and BOOM...there's your answer!

In regards to the other answers you have received, not all polygons have a total of 360 degrees worth of angles...that's circles!!

Answer 4

So you have 6 lines joined together. Since a regular hexagon is formed by 6 triangles with equal sides, then each angle is 60' IN THE TRIANGLES.
But the question you are asked, I believe, is the angle formed by 2 sides. and that is equal to two (2) 60' angles, therefore it is 120 degrees.

To verify this, cut your hexagon into 6 triangles and take my word (or use a protractor or a graduate circle to check this too) that each angle is 60'. Then see that you travel through 2 complete angles when going from one side to the next.

Answer 5

a regular hexagon has angles and lines that are all equal

knowing all the angles are the same, divide 360 (the total degrees in a polygon) by the number of angles

Answer 6

there are 360 degrees in all shapes.

In a hexagon, there are 6 angles.

divide 360 degrees by 6.... Each angle is 60 degrees.

Answer 7

well i don't think there are 360 degrees in all shapes. the angles of a triangle all add up to 180 not 360. so yeah.. i dunno. just had to say that. i dunno..

Answer 8

360 degrees(I think)