Respuesta :
Answer:
The answer for this question is B (10) I have shown a step by step explaination for you to understand how I got this answer
Step-by-step explanation:
4x-2=x+28
-x -x
3x-2=28
+2 +2
3x=30
3x/3 = 30/3
x=10
The value of x for which DEFG must be a parallelogram is Option(B) 10 .
What is a parallelogram ?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
How to find the value of x for which the figure is a parallelogram ?
As we know that for a parallelogram, the opposite adjacent sides are always parallel and equal in length.
Therefore, for DEFG to be a parallelogram, the sides DH and FH must be equal in length.
We have, DH = FH
⇒ 4x - 2 = x + 28
⇒ 3x = 30
∴ x = 10
Thus, the value of x for which DEFG must be a parallelogram is Option(B) 10 .
To learn more about parallelogram , refer -
https://brainly.com/question/1446571
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