Don’t answer if you don’t know !!
2 answers:
Answer: 72 sides.
Step-by-step explanation:
You can find how many sides of a regular polygon there are by using this formula:
total angle measurement.
However, we do not have the total angle measurement. We only have one angle measure. To fix this, we can multiply it by "n", the number of sides:
Now, we have to isolate T.
n = 72.
Answer:
72 sides
Step-by-step explanation:
The sum of the angles of a polygon with n sides is (n−2) × 180
Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n
Each angle is equal to 175
(n−2) × 180 / n = 175
Multiply each side by n
(n-2)180 = 175n
Distribute
180n -360 = 175n
Subtract 180n from each side
180n-180n-360 = 175n-180n
-360 = -5n
Divide each side by -5
-360/-5 =-5n/-5
72 = n
There are 72 sides
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