The expression (a-4) represents the measure of an interior angle of a regular 20-gon. WHat is the value of a in the expression
To find the value of a in the expression (a-4), we need to determine the measure of an interior angle of a regular 20-gon.
The formula to find the measure of each interior angle of a regular polygon is:
Interior angle measure = (n - 2) * 180 / n,
where n is the number of sides of the polygon.
In this case, we have a regular 20-gon, so we can substitute n = 20 into the formula:
Interior angle measure = (20 - 2) * 180 / 20
= 18 * 180 / 20
= 162 degrees
Now, we can set up an equation using the given expression and solve for a:
(a - 4) = 162
To isolate a, we can add 4 to both sides of the equation:
(a - 4) + 4 = 162 + 4
a = 166
Therefore, the value of a in the expression (a-4) is 166.