Six angles in a hexagon are fit together.It looks like this...
_____
/\ / \
/_1\6/_5\
\ 2/3\4/
\/____/
I try to draw the picture as best as I can but try to imagine. It's a hexagon with the six angles labeled near the center of the hexagon.
The options given to this question are
A). 20
B). 30
C). 40
D). 60
E). can't be determined
I tried it myself and I used the formula (n-2) x 180 and i got 120 for each angle.
sucks to suck
Find the missing angle measurements of <8 at a 152 degree angle and explain ur reasoning
To determine the measure of each angle in a regular hexagon, you can use the formula (n-2) x 180, where n represents the number of sides in the polygon.
In this case, a hexagon has six sides, so n = 6. Plugging this value into the formula, we get:
(6-2) x 180 = 4 x 180 = 720 degrees
Now, since there are six angles in a hexagon, we can divide the total sum of the angles (720 degrees) by the number of angles to find the measure of each angle:
720 degrees ÷ 6 angles = 120 degrees
Therefore, each angle in the given hexagon measures 120 degrees.
Thus, the correct option is D) 60 degrees.
To find the measure of each angle in the given hexagon, you can use the formula for the sum of angles in any polygon, which is (n-2) * 180 degrees, where n represents the number of sides of the polygon. In this case, since it is a hexagon (a polygon with 6 sides), the formula becomes (6-2) * 180 = 4 * 180 = 720 degrees.
Since there are six angles in a hexagon and their sum is 720 degrees, we can divide 720 by 6 to find the measure of each angle.
720 degrees / 6 angles = 120 degrees per angle
Therefore, the measure of each angle in the given hexagon is 120 degrees.
So, the correct option among the given choices is D) 60.