The sum of the interior angles of a pentagon is 6x + 6y. Find y in the terms of x
Answer Details
A pentagon is a five-sided polygon, and the sum of its interior angles can be found using the formula:
Sum of interior angles = (n-2) * 180 degrees
where n is the number of sides in the polygon.
For a pentagon, n = 5, so the formula becomes:
Sum of interior angles = (5-2) * 180 degrees
= 3 * 180 degrees
= 540 degrees
Now, we are given that the sum of the interior angles of a pentagon is 6x + 6y. Therefore, we can equate this expression with 540 degrees to get:
6x + 6y = 540
Dividing both sides by 6, we get:
x + y = 90
Subtracting x from both sides, we get:
y = 90 - x
Therefore, the value of y in terms of x is y = 90 - x.
Hence, the correct answer is option (A) y = 90 - x.