how do I solve for x for a 5 sided polygon, with angles 95 degrees,45 degrees, (9x-6),(3x+23),and (7x-4) ?

Answer 1

To solve for x in this problem, you need to use the fact that the sum of interior angles in a polygon with n sides is given by the formula (n-2) * 180 degrees.

Since you have a 5 sided polygon, the sum of all the interior angles should be (5-2) * 180 = 540 degrees.

Now, you can set up an equation using the given angles and the formula for the sum of interior angles:

95 + 45 + (9x-6) + (3x+23) + (7x-4) = 540

Combine like terms:

95 + 45 + 9x - 6 + 3x + 23 + 7x - 4 = 540

Simplify:

9x + 3x + 7x + 95 + 45 - 6 + 23 - 4 = 540

19x + 153 = 540

Subtract 153 from both sides:

19x = 387

Divide by 19 on both sides:

x = 387 / 19
x = 20.368

Therefore, x is approximately 20.368.