Question

Geometry math question no Guessing and Please show work thank you

Answer 1

To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:
$(number \: of \: sides - 2) \times 180$
In this case,the equation would be:
(7-2)×180°
=5×180°
=900°

We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°

The interior angle of vertex E:

6x=6(25)=150°

Therefore,the interior angle of vertex E is 150°.

Hope it helps!