Developing Proof Complete this two column proof. 7. Given: DEFGH, with diagonals EG and TIF
Prove: A EFKAGHK
H
Statements
Reasons
1). 2. DEFGH, with diagonals 1) Given
EG and HF
2) 2. FK = HK, GK EK
2) The diagonals of a parallelogram
bisect each other
3) EF GH
3) ? Opposite sides of parallelogram are a
4) ? AEFK - AGHK
4) ? SSS

(3x-8) or (3x+8)

step-by-step explanation:

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180