Answer:
x = 67.5 degrees
Explanation:
this is an octagon which has 8 sides
the sum of all interior angles can be found by taking the number of sides, reducing it by 2, and then multiplying by 180
(8-2)*180 = 6(180) = 1080
the 1080° must be split equally among all 8 angles because it is a 'regular' polygon
1080/8 = 135
however, 'x' represents half of each regular angle so it is 67.5 degrees