Question

Дан паралелограмм ABCD есть 1 угол 60 найти остальные

Answer 1

Так как нам дан параллелограм, то по свойствам противоположные углы равны. Если угол ABC=60 градусам, то уголADC=60 градусам. Проведем диагональ AD. Рассмотрим треугольки ABD и BCD. AD -общая. Углы при общей стороне равны из-за параллельности прямых. Из этого треугольники равны. Но так как сумма в обоих треугольниках 2ух углов =60 градусам, то на углы BAD, BCD приходится по 120 градусов

Answer 2

Finding the Other Angles of a Parallelogram

To find the other angles of a parallelogram given that one angle is 60 degrees, we can use the properties of parallelograms.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. The opposite angles of a parallelogram are also equal.

Let's denote the given parallelogram as ABCD, where angle ABC is 60 degrees.

To find the other angles, we can use the fact that the opposite angles of a parallelogram are equal. Since angle ABC is 60 degrees, angle CDA, which is opposite to angle ABC, will also be 60 degrees.

Therefore, the other two angles of the parallelogram ABCD are both 60 degrees.

In summary, if one angle of a parallelogram is 60 degrees, then the other three angles of the parallelogram will also be 60 degrees.

I hope this helps! Let me know if you have any further questions.