Question

Find the value of x. The diagram is not to scale.

Answer 1

Sum of interior angles of an n-sided polygon is (n-2)*180°

So for a 5 sided polygon is will be 540°

90+2x+10+2x+148+112=540
4x+360=540
4x=180
x=45

Answer 2

Thank you so much! :)

Answer 3

Could you answer one more question?

Answer 4

Find the lengths of the diagonals of this trapezoid

Answer 5

http://en.wikipedia.org/wiki/Isosceles_trapezoid#Diagonals_and_height

Answer 6

\[L=2\sqrt{4ab+((a-b)^2+c^2)^2}\]