The sum of the measures of the interior angles of a polygon with n sides can be calculated using the formula:
Sum = (n-2) * 180 degrees.
Since we are given the measure of one interior angle (h) as 38°, we can use it to find the number of sides of the polygon.
We know that the measure of each interior angle is equal to (n-2) * 180 / n, where n is the number of sides.
So, we can set up an equation:
(n-2) * 180 / n = 38
Multiplying both sides by n:
180(n - 2) = 38n
Expanding:
180n - 360 = 38n
Subtracting 38n from both sides and adding 360 to both sides:
(180 - 38)n = 360
142n = 360
Dividing both sides by 142:
n = 360 / 142
n ≈ 2.54
Since the number of sides must be a whole number, we can approximate n as 3.
Now, we can calculate the sum of the measures of the interior angles at the vertex eye and vertex j.
Sum = (n-2) * 180
Sum = (3-2) * 180
Sum = 1 * 180
Sum = 180 degrees.
Therefore, the sum of the measures of the interior angles at vertex eye and vertex j is 180 degrees.
What is the sum of measures of the interior angles at vortex eye and vortex j 142 or 38 128 52 if h was 38°
1 answer