Answer:
x = 23
Step-by-step explanation:
This is a polygon. Since the rule for finding the number of degrees in a polygon is n - 2, we can find our answer for x.
There are 7 sides, so 7-2 =5 * 180 degrees in a heptagon. (7 sided figure):
180 * 5 = 900, so there are 900 degrees in this heptagon.
Now, to solving:
We can set up an equation like this:
7x + 2x + 8x + 10x + 8x + 35 + 60 = 900.
Combining like terms:
35x + 35 + 60 = 900
Simplifying:
35x + 95 = 900.
We subtract 95:
900 - 95 = 805.
Now we have:
35x = 805.
Dividing both sides by 35 gives:
x = 23 as our answer.
Check:
If we have solved correctly, we should have that 35 * 23 + 95 = 900:
35 * 23 = 805. 805 + 95 = 900.
So we are correct.
