Question

Сумма противолежащих углов равнобедренной трапеции равна 180?

Answer 1

Нет. Противолежащие углы равны. Сумма углов ПРИЛЕЖАЩИХ к одной стороне равна 180°

Answer 2

60°………
........,.......

Answer 3

Answer:

Сумма противолежащих углов равнобедренной трапеции равна 180 градусов.

This statement is true. In a равнобедренной трапеции (isosceles trapezoid), the sum of the measures of the two remote interior angles is always equal to 180 degrees.

Explanation:

In a равнобедренной трапеции, the two non-parallel sides are of equal length, and the base angles (the angles formed by one of the non-parallel sides and a base) are congruent. This means that the sum of the measures of the two remote interior angles (the angles formed by extending the non-parallel sides) is always equal to 180 degrees.

This can be explained using the properties of trapezoids and the relationships between their angles. The sum of the measures of the two remote interior angles in a trapezoid is supplementary, meaning they add up to 180 degrees.

Therefore, in a равнобедренной трапеции, the sum of the measures of the two remote interior angles is always equal to 180 degrees.

I hope this helps! If you have further questions, feel free to ask.