Question

Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36

Answer 1

Answer:

162°

Step-by-step explanation:

The shape is a hexagon, so the interior angles equal 720. (N-2)*180=720

9x+9x+9x+2x+9x+2x=720

40x=720

x=720/40

x=18

D=9x=9(18)=162°

Answer 2

The sum of interior angles of a polygon with n sides is $(n-2)\cdot180$

In this case $n=6$

Therefore

$4\cdot9x+2\cdot2x=(6-2)\cdot180\\36x+4x=4\cdot180\\40x=720\\x=18$

$9x=9\cdot18=162$

So B