Problem PageQuestion Find the measure of each interior angle and each exterior angle of a regular hexagon (a six-sided polygon).

Step-by-step explanation:

I find it easiest to start with the exterior angles. Each exterior angle of a regular polygon is 360° divided by the number of sides. That is, the total of all exterior angles is 360°.

For a 6-sided regular polygon (hexagon), exterior angles are ...

  360°/6 = 60° . . . . exterior angle measure

The interior angle measure is the supplement of the exterior angle measure:

  180° -60° = 120° . . . . interior angle measure

The total of interior angles is 180°(n -2), where n is the number of sides of the convex polygon. Then for a regular polygon of n sides, the interior angles are each ...

  (180°)(n -2)/n = 180° -(360°/n) . . . . as above

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.