the angles in a hexagon are 135, 62, 151, 140, x and x +6. find the measure of the missing angles.
the angles in a pentagon measure x-30,x+20,x-30, x+30 and x find the measure of each angle.
The sum of the interior angles of an n-gon is 180(n-2).
That's 540 for a pentagon and 720 for a hexagon.
So, add them up and solve for x.
288
To find the measure of the missing angles in a hexagon, we know that the sum of all the angles in a hexagon is always 720 degrees.
Let's add up the given angles:
135 + 62 + 151 + 140 + x + x + 6 = 720
Combining like terms, we have:
494 + 2x = 720
Next, let's isolate the variable 'x' by subtracting 494 from both sides of the equation:
2x = 720 - 494
2x = 226
Finally, divide both sides of the equation by 2 to solve for 'x':
x = 226 / 2
x = 113
Now that we have the value for 'x', we can determine the measure of the missing angles:
The missing angle is x + 6, which is equal to 113 + 6 = 119 degrees.
Therefore, the measure of the missing angles are 113 degrees and 119 degrees.