Question

знайдіть кути паралелограма, якщо сума двох з них дорівнює 260 плиз помогите

Answer 1

КутА+кутВ+кутС=кутД=360
кутА=кутС, кутВ=кутС
кутА+кутВ=180, кути по одній стороні паралелограма=180
кут В+кутД=260, кутВ=кутД=260/2=130
кутА=кутС=180-130=50

Answer 2

Finding the angles of a parallelogram given the sum of two angles

Let's break this problem down step-by-step:

The question states that the sum of two angles of the parallelogram is 260 degrees. Since a parallelogram has opposite angles that are equal, this means there are two pairs of equal angles.

We know that the total interior angles of any quadrilateral is 360 degrees. A parallelogram has four sides and four interior angles, so the total of its interior angles must be 360 degrees.

If two angles sum to 260 degrees, the other two angles must sum to the remaining 360 - 260 = 100 degrees. Since these other two angles are equal pairs, each angle must be 100/2 = 50 degrees.

Therefore, the two angles that sum to 260 degrees must each be (260 - 50)/2 = 105 degrees.

In summary, if the sum of two angles of a parallelogram is 260 degrees, the four angles of the parallelogram are: 105 degrees, 105 degrees, 50 degrees, 50 degrees.