Trapazoid thing. Not sure how to divide it so I can find the measure of x... Fan and medal to helper! lol :)

Question

anonymous · Answer

attachment

anonymous · Answer

@tcarroll010 @mathstudent55

campbell_st · Answer

well you don't need to divide it. Its angle sum of a pentagon

the general formula for the angle sum of any polygon is 

$$AngleSum =(n - 2) \times 180$$

in this question n = 5

so the angle sum is 540

using this you have 

2x + 10 + 2x + 112 + 90 + 148 = 540

or

4x + 360 = 540

just solve for x

mathstudent55 · Answer

There is no need to divide angles.

The sum of the measures of the angles of a polygon is (n - 2)180. n = number of sides.

Since you have a pentagon, a five-sided polygon, when you use the formula, you get
(5 - 2)180 = 3(180) = 540

The sum of the measures of all five angles of a pentagon is 540.
In your pentagon, you habe a right angle wich measures 90 degrees.

What you need to do now is set up a sum of the measures of the angles, and set that equal to 540. Then solve that equation for x.