Question

Один з кутів паралелограма дорівнює 122 0 . Знайдіть решту кутів.

Answer 1

Ответ:122, 122, 58, 58

Объяснение:

Протилежні кути паралелограма рівні, тобто угол А 122 0 = противоположному углу С 122 0. А сума кутів паралелограма на одній стороні дорівнює 180 0, тобто 180 - 122 = 58. Це будуть кути В і Д

Answer 2

Finding the Remaining Angles of a Parallelogram

To find the remaining angles of a parallelogram, we need to know the value of one angle. In this case, we are given that one of the angles of the parallelogram is 122°.

Let's denote the given angle as A. The opposite angle to A in the parallelogram will also be 122°, as opposite angles in a parallelogram are congruent.

Now, let's find the remaining angles of the parallelogram.

Opposite Angles in a Parallelogram

In a parallelogram, opposite angles are congruent. This means that if one angle is A, the opposite angle will also be A.

Therefore, in our given parallelogram, the opposite angle to the given angle of 122° will also be 122°.

Sum of Angles in a Parallelogram

The sum of the angles in any quadrilateral, including a parallelogram, is always 360°.

In a parallelogram, opposite angles are congruent, which means they have the same measure. Therefore, the sum of the measures of the opposite angles in a parallelogram is 360°.

Since we know that one angle is 122°, and its opposite angle is also 122°, we can find the sum of the remaining two angles.

Let's denote the remaining angles as B and C.

The sum of the measures of the angles in the parallelogram can be expressed as:

A + B + A + C = 360°

Substituting the known values:

122° + B + 122° + C = 360°

Simplifying the equation:

2A + B + C = 360°

244° + B + C = 360°

B + C = 360° - 244°

B + C = 116°

Therefore, the sum of the remaining two angles, B and C, is 116°.

Since we do not have any specific information about the individual measures of angles B and C, we cannot determine their exact values without additional information.

To summarize: - One angle of the parallelogram is given as 122°. - The opposite angle to the given angle is also 122°. - The sum of the remaining two angles is 116°.

Please note that the exact values of angles B and C cannot be determined without additional information.