If EFGH is a parallelogram, what is the value of x?

to be a parallogram the 2 angles shown need to equal 180 degrees

so we have: 34 + (4x-2) = 180

now we can solve for x

34 + 4x -2 = 180

simplify the left side by subtracting 2 from 34

32+4x =180

subtract 32 from each side:

4x = 148

divide both sides by 4 to get x

x = 148 / 4

x = 37

The answer is B

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ap8997154 ap8997154 · Answer 2 · 2022-06-10T09:04:13+02:00

A quadrilateral in which opposite sides are parallel is called a parallelogram. The value of x is 37.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, any two adjacent angles are always supplementary. Therefore, we can write the sum of the two angles as,

(4x-2)° + 34° = 180°

4x - 2 + 34 =180

4x + 32 =180

4x = 180 - 32

4x = 148

x = 37

Hence, the value of x is 37.

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