Question

Given ABCD, solve for X.
Please show me how you did it too, if possible. Thank you!!!

Answer 1

Angle B is the same as angle D, and angle A is the same as angle C since it is a parallelogram. 
A quadrilateral's angles add up to 360º. 
An equation that we could solve to find x is: 
2(8x + 30) + 2(4x + 18) = 360 
Distribute the parts in parenthesis: 
16x + 60 + 8x + 36 = 360 
Combine like terms: 
24x + 96 = 360 
Subtract 96 from each side: 
24x = 264 
Divide each side by 24: 
x = 11 
Hope this helps!

Answer 2

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 Assumption and Explanation
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 It is not clearly stated but it is assumed that ABCD is a parallelogram.
One of the properties of a parallelogram is that the consecutive angles are supplementary. In this case, it will mean that ∠ABC and ∠BAD add up 180.

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Form the equation and solve for x
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 ∠ABC + ∠BAD = 180
(8x + 30) + (4x + 18) = 180
8x + 30 + 4x + 18 = 180
12x + 48 = 180
12x = 132
x = 11

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Ans: x = 11
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