B) the measure of the supplementary angle of an interior angle is
Answer:
A) Each interior angle of the Regular Hexagon = 120°
B)The measure of the supplementary angle of an interior angle is 60°
Step-by-step explanation:
Regular Hexagon : A 6 sided polygon which has all 6 interior angles as EQUAL is called a regular hexagon.
So, here are 6 interior angles of the hexagon are equal.
Also, Sum of all interior angles of an hexagon = 720°
Let us assume the each angle of the hexagon = m
⇒ m + m + m + m + m + m = 720°
or, 6 m = 720°
or, m = 720° / 6 = 120°
⇒ Each interior angle of the Regular Hexagon = 120°
Now, a side is extended to form an exterior angle.
Let us assume the measure of that exterior angle = k
⇒ k + m = 180 ° ( as k and m are SUPPLEMENTARY ANGLES)
or, k = 180 - 120 = 60 °
or, k = 60 °
Hence, the measure of the supplementary angle of an interior angle is 60°
Suppose, John arranges stack of Gold and Silver coins in such a way that each stack either contains Gold or contains Silver coins only.
He also tries to arrange them in the least area.
Here, the number of coins in each stack is the common factor of number of Gold and Silver coins.
If we find the highest common factor, then the area occupied by the coins will be least.
Hence, in this situation, we have to find the common factor.
Suppose, George and David are walking along the circular pathway of a park with different speeds.
The problem is to find the time after which they will meet again at the starting point.
Clearly, here the required time is the common multiple of independent time taken by both.