Need help with this question cant figure it out

a) 12 degrees

b) 15 degrees

c) 140 degrees

d) 22 degrees

Step-by-step explanation:

Step 1 :

a)

The angles in a straight line sup to 180 degrees

So we have

10 x - 20 + 6 x + 8 = 180

16 x - 12 = 180 => 16 x = 192 =>  x = 192/16 = 12

Hence the value of x is 12

Step 2 :

b)

Given angles 1 and 2 are complementary which implies that their sum is 90 degrees

so we have, x + 3 x + 30 = 90

=> 4x + 30 = 90 => 4x = 60 => x = 15

Hence x has a value of 15 degrees

Step 3 :

c)

Given that the sum of the angles inside the figure is 720 degrees.

So we have,

x - 60 + x - 40 + x - 20 + 130 + 120 + 110 = 720

3x +240 = 720 +> x = 160

measure of angle F is x -  20 = 160 - 20 = 140 degrees

Step 4 :

d)

We know that the triangles 3 angles  sum is 180 degrees.

So we have,

x + 120 + x +  160 = 180 => 2x = 44 => x =22

So angle B measures 22 degrees

the correct is answer is a 9-sided polygon!

step-by-step explanation: