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Find the value of x in the parallelogram below.

Find the value of x in the parallelogram below.-example-1

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The value of x in the parallelogram is 106°.

In a parallelogram, opposite angles are equal. So, the angle opposite the 74° angle is also 74°.

The sum of the interior angles of a quadrilateral is 360°.

In this parallelogram, we have two 74° angles and two x° angles.

Setting up the equation, we get: 74° + 74° + 2x° = 360°

Combining like terms, we get: 148° + 2x° = 360°

Subtracting 148° from both sides, we get: 2x° = 212°

Dividing both sides by 2, we get: x° = 106°

Therefore, the value of x is 106°.

User Jonathan Mayer
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3.3k points
4 votes

Answer:

x=106 degrees

Explanation:

The two opposite angles in a parallelogram are always the same and we know 360 degrees in a parallelogram.

x+x+74+74=360.

2x+148=360

2x=212

x=106 degrees

User Daniel Zagales
by
3.2k points