To find the sum of the interior angles of a pentagon, we use the formula:
S = (n-2) * 180
where S is the sum of the interior angles and n is the number of sides (in this case, n = 5). So we have:
S = (5-2) * 180
S = 540°
Now we can use this information to set up an equation involving x:
106° + 94° + 135° + x° + (x + 5)° = 540°
Simplifying, we can combine like terms:
340° + 2x° + 5° = 540°
Subtracting 345° from both sides:
2x° = 195°
Dividing by 2:
x° = 97.5°
So the value of x is 97.5°.
The sum of the interior angles of a pentagon is equal to 540°. Given the following pentagon. Write and solve an equation in order to determine X.
Here are the numbers:
106°
94°
135°
x°
(x + 5)°
Show all work
(This is 10th grade math, please don't make it advanced)
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