Question

Градусні міри двох кутів паралелограма відносяться як 2:3 ; Знайти кути паралелограма?​

Answer 1

Ответ:

72°, 108°, 72°, 108° кути паралелограма

Объяснение:

Позначимо кути як 2х та 3х.

Сума сусідніх кутів паралелограма 180°, тоді:

2х+3х=180

5х=180

х=36

36*2=72° гострі кути

36*3=108° тупі кути

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram when the measures of two angles are in a ratio of 2:3, we can use the fact that opposite angles in a parallelogram are congruent.

Let's assume that the measures of the two angles are 2x and 3x, where x is a constant. Since opposite angles are congruent, the other two angles will also have measures of 2x and 3x.

To find the value of x, we can use the fact that the sum of the angles in a parallelogram is 360 degrees.

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

2x + 3x + 2x + 3x = 360

Simplifying the equation:

10x = 360

Dividing both sides by 10:

x = 36

Now that we have the value of x, we can find the measures of the angles:

Angle 1: 2x = 2 * 36 = 72 degrees Angle 2: 3x = 3 * 36 = 108 degrees Angle 3: 2x = 2 * 36 = 72 degrees Angle 4: 3x = 3 * 36 = 108 degrees

Therefore, the measures of the angles in the parallelogram are: - Angle 1: 72 degrees - Angle 2: 108 degrees - Angle 3: 72 degrees - Angle 4: 108 degrees

Please let me know if there's anything else I can help you with!