Question

1. i dentify if the following figure is an examle of a parallelogram. show your solution.

Answer 1

The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

As we know in the parallelogram, the diagonals bisect each other.

Then,

432 = 3x²

x² = 144

x = √144

x = 12

In the parallelogram, the adjacent opposite angles are the same.

∠C+∠B = 240°

= 360 - 240

∠A + ∠D = 120°

∠A = ∠D = 120°/2 = 60

∠D/2 = 60/2 = 3y + 60

3y + 60 = 30

3y = -30

y = -10

From the definition of the parallelogram, the provided figure is a parallelogram.

Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.

Learn more about the parallelogram here:

brainly.com/question/1563728

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