We know opposite angles in the parallelogram is congruent:
let x to be the unknown angle:
360=2(110)+2x
360=220+2x
140=2x
x=70
ECF is also 110 because of parallel lines and corresponding angles:
110+x+y=180
110+30+y=180
y=40
so DAE is 40
Answer:
The missing side length is 5
Step-by-step explanation:
Basically 32 to 4 and 56 to 7 is 8 to 1, so you divide 40 by 8 to get the answer, 5
ANSWER

or

We have

Since we cannot factor easily, we complete the square.
Adding 2 to both sides give,

Dividing through by 3 gives

Adding

to both sides gives

The expression on the Left Hand side is a perfect square.




Splitting the plus or minus sign gives

or
Let ∠RTS=∠RST = a (say)
∠QUA=∠QSU= b(say)
then we know , at point S, a+40+b=180. so, a+b=140 we'll use this later.
consider trianglePQR, ∠P+∠Q+∠R=180
i.e.P+(180-2b)+(180-2a)=180
P+180+180-2(a+b)=180 ⇒P+180-2(a+b)=0 ⇒P=2(140)- 180=280-180=100
hence,answer is E