Answer:
Step-by-step explanation:
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer: 
<u>Add 8x to both sides</u>
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<u>Subtract 1 from both sides</u>
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<u>Divide both sides by 14</u>
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The given angles are forming alternate interior pair, so :
hence, value of x = 8°
I believe its d because that was what I was doing 2days ago
Answer:
56
Step-by-step explanation:
Hey There!
so this is a parallelogram so opposite angles are congruent
So basically what i am saying is that angle P is congruent to angle R
So we need to solve for x
We know that angle P and angle Q are supplements meaning that they will add up to 180
so we setup the equation

step 1 combine like terms

now we have
180=11x-7
step 2 add 7 to each side
180+7=187
-7+7 cancels out
now we have
187=11x
step 2 divide each side by 11
187/11=17
x=17
now we plug in 17 to (3x+5) to get the value of angle R
17x3=51
51+5=56
therefore m∠R = 56