# One of the corners of the parallelogram is 34 larger than the other. what are the angles of the parallelogram

October 10, 2021 | education

| A parallelogram is a rectangle with equal and parallel opposite sides. Opposite angles in a parallelogram are equal, and the sum of any two different angles (one of them is always acute, the other is obtuse) is equal to 180 °.

Let’s solve the problem using the equation, where x ° is the acute angle of the parallelogram;

Then (x + 34) ° is the obtuse angle of the parallelogram;

Let’s compose and solve the equation of the sum of two different angles:

x + (x + 34) = 180 °;

x + x + 34 = 180;

2x + 34 = 180;

2x = 180 – 34;

2x = 146;

x = 146/2;

x = 73 ° – acute angles;

x + 34 = 73 + 34 = 107 ° – obtuse angles.

Answer: 73 °, 73 °, 107 °, 107 °

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