Answer:
x = 88
A = 94°
B = 102°
C = 86°
D = 78°
Step-by-step explanation:
We find the angle measurements by finding x first.
what we first do in this equation x+6+x-2=180 is combine like terms
this would equal
2x+4=180
we want x by itself so we subtract 4 from both sides
this would equal
2x=176
x is still not by itself so now we divide 2 by both sides
this would equal
x = 88
Now we just plug in our answers in to the angles meaning
we replace everything that is x in the quadrilateral with 88
Now that we found all the sides with equations there is still one angle that is undefined
We figure this out by subtracting all the angles with 360.
this is because all the angles degrees added in a quadrilateral equals 360. so 360-258=102
so the angle measurement of angle B is 102
