Answer:
x = 99
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) × 180°, where is the n is the number of sides. And since the polygon has 6 sides:
( 6 - 2) 180°
(4) (180)°
720 °
Now that we figure out the sum of all interior angles, all we had to do is add all angles and equal it to 720:
(x - 13) + (x + 10) + (x - 3) + (x) + (2x + 15) + (x + 18) = 720°
Combine like terms:
7x + 27 = 720
7x - 27 - 27 = 720° - 27
7x = 693
7x/7 = 693/7
x = 99
You can check this by substituting the x value of 99 to all terms then add it all up and see if it really is equal to 720.
