Question

What are the missing measures?

Answer 1

Your answer would be B.
Here is how to approach this problem. Since this polygon has 6 sides then the total sum of degrees should be 720. (6-2)(180)= 720 That is the formula to determine the total degrees of a polygon like a triangle. (3-2)(180)=180
Since you know that all of them equal 720 you can make this equation.
6x+4x+105+130+120+125=720
Simplify and you get
10x+480=720
Subtract 480 on both sides
10x=240
Divide by 10 on both sides
x=24
So plug 24 back into the missing angles
6 x 24= 144
4 x 24= 96
Again, it is answer choice B.

Answer 2

Thank you so much!