94.3k views
16 votes
Find x with reason(s)

Find x with reason(s)-example-1
User Azer
by
4.3k points

1 Answer

9 votes

Answer:

Well we know this is a parallelogram

-A theorem states that if both opposite side of a quadrilateral (4 sided shape) are congruent then it’s a parrlelogram.
-We also know this is a rhombus becuase all sides are congruent and has no right angle present. A theorem to support this is, If two consecutive sides of a parallelogram are congruent, then the parallelogram is a a rhombus.

So we’re trying to find x.

A theorem states that “The diagonals of a rhombus bisects two angles of the rhombus.”

Bisect means cut in a way that both angles are equal.

That means the two angles given have to be equal to each other.

We can make an equation.

110-x = x

Now solve
2x= 110

X= 55

X would equal 55

x=55

User Taylor Gerring
by
4.2k points