Answer:
The value of x is 105°
Explanation:
Firstly, you have to find the total angles in regular hexagon and octagon using the θ = (n-2)×180° where "n" determine numbers of edges :
hexagon,
θ = (6-2)×180°
= 4 × 180°
= 720° (total angles)
octagon,
θ = (8-2)×180°
= 6 × 180°
= 1080° (total angles)
Then, calcular the angle for each edge :
hexagon,
θ = 720° ÷ 6
= 120°
octagon,
θ = 1080 ÷ 8
= 135°
Lastly, to find the value of angle x. As the angle in a circle is 360° so you have to substract :
x = 360° - 135° - 120°
= 105°