Question

Help me using the image below

Answer 1

Answer:

The value of x is 105°

Step-by-step 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°