Answer:
x = 105°
Step-by-step explanation:
The shape above is a regular hexagon and a regular octagon the both of them have the same interior angle through out. For a polygon to be regular all it interior angle are the same .
sum of interior angles of a polygon = (n - 2)180°
where
n = number of sides
Therefore,
sum of interior angle of a hexagon = (6 - 2)180
sum of interior angle of a hexagon = (4)180
sum of interior angle of a hexagon = 720
each angle of a regular hexagon = 720/6 = 120°
sum of interior angles of an octagon = (8- 2)180
sum of interior angles of an octagon = (6)180
sum of interior angles of an octagon = 1080
each angle of a regular octagon = 1080/8 = 135°
All the angle around a point add up to 360°. So if we take the interior angle from 360° we will get angle x
360 - (135° + 120°)
360 - 255
x = 105°
