Answer:
Step-by-step explanation:
Problem One
(n - 2)*180 means that you take the number of sides and subtract 2. Then you multiply by 180. Read this next part carefully. What you have is the number of degrees that the quadrilateral equals for its interior angles.
The total of the interior angles = (4 - 2)*180
The total of the interior angles = 2 * 180
The total of the interior angles = 360
90 + 90 + 4x + 14 + 5x + 23 = 360 Collect the like terms
9x + 217 = 360 Subtract 217 from both sides
9x = 143 Divide by 9
x = 15.89
Two
You are now trying to find the sum of the interior angles of a hexagon.
(n - 2)*180/6 = (6 - 2)*180/6 = 4 * 30 = 120
This is a little different. What you have found is 1 angle of a regular hexagon. It is 120 degrees.
6x - 26 = 120 Add 26 to both sides
6x = 120+26 Combine
6x = 146 Divide by 6
x = 146/6
x = 23.333333
