Question

Угол A четырехугольника ABCD вписанного в окружность равен 26 градусов найдите угол C этого четырехугольника .ответ дайте в градусaх

Answer 1

Сумма противоположных углов вписанного четырехугольника равна 180 градусов отсюда следует угол С равен 180-26=154

Answer 2

Finding the Angle C of a Quadrilateral ABCD

To find the angle C of a quadrilateral ABCD, we need to use the information that the angle A of the quadrilateral, which is inscribed in a circle, is equal to 26 degrees. We can use the properties of inscribed angles to find the angle C.

According to the search results, we have the following relevant information:

- Source states that the angle ABCD is 37 degrees. - Source mentions that BC = CD and ADC = 93 degrees.

Based on this information, we can proceed with finding the angle C.

Solution:

Since BC = CD, we can conclude that triangle BCD is an isosceles triangle. In an isosceles triangle, the base angles are equal. Therefore, angle BCD is equal to angle CBD.

Let's denote angle BCD as x. Since angle A is 26 degrees, angle ABCD is 37 degrees, and angle ADC is 93 degrees, we can write the following equation:

x + 37 + 93 + x = 360

Simplifying the equation, we get:

2x + 130 = 360

Subtracting 130 from both sides,