what is the value of x in the concave polygon below?

O

onesun0000

Junior Member
Joined
Dec 18, 2018
Messages
83
I know that the value of x in this problem is 169 by exterior angle sum theorem (I extended the dashed line with the 58° angle to create a triangle). But I have to fill in this equation to solve for x. I just don't know how to come with that equation.

1587043365397.png
 
onesun0000 said:
I know that the value of x in this problem is 169 by exterior angle sum theorem (I extended the dashed line with the 58° angle to create a triangle). But I have to fill in this equation to solve for x. I just don't know how to come with that equation.

View attachment 17959
Click to expand...
I think that the ellipses (...) within each pair of parentheses does NOT have to be single numbers - it could be though.

1587046070322.png
 
What is the sum of the exterior angles of a quadrilateral? That goes in the last blank.

Then, why would one angle be subtracted and the others added? That will tell you what angle goes in each blank on the LHS.
 
You must log in or register to reply here.
Top