Question

В равнобедренной трапеции угол B в два раза больше угла A найти угол CРебят помогите годовая оценка решается

Answer 1

  Угол  C=120градусов 

так как в трапеци 360 градусов 

х+2х=180

решаем уравенение

ответ умножаем на 2 

Answer 2

Solving for the Angles in an Isosceles Trapezoid

In an isosceles trapezoid, the non-parallel sides are of equal length, and the base angles (angles A and B) are congruent. Given that angle B is twice angle A, we can solve for the angles using the following steps:

1. Let's denote angle A as x. 2. Since angle B is twice angle A, angle B can be represented as 2x. 3. The sum of the interior angles of a trapezoid is 360 degrees. In an isosceles trapezoid, the base angles are equal, so we can express the sum of the angles as: x + x + 2x + 2x = 360.

Now, let's solve for the angles.

Calculating the Angles

Using the equation x + x + 2x + 2x = 360: - Combine like terms: 6x = 360 - Solve for x: x = 60

Now that we have the value of x, we can find the measures of angles A, B, and C.

- Angle A: x = 60 degrees - Angle B: 2x = 2 * 60 = 120 degrees - Angle C: Since angle C is supplementary to angle A, we can find it by subtracting angle A from 180 degrees: 180 - 60 = 120 degrees

Therefore, in the given isosceles trapezoid, angle C is 120 degrees.