Question

В трапеции ABCD Из вершины угла B проведена Прямая параллельная стороне BC и пересекающая сторону AD в точке N Так что Угол ABC равен 39 градусов угол А равен 42 градуса Чему равен угол C срочно!!!!!​

Answer 1

Ответ:

Вот тут все полностью

Объяснение:

Answer 2

#### Given Information: We have a trapezoid ABCD, where angle ABC is 39 degrees and angle A is 42 degrees. From vertex B, a line is drawn parallel to side BC and intersects side AD at point N. We need to find the measure of angle C. #### Solution: To find the measure of angle C, we can use the fact that the sum of the angles in a trapezoid is 360 degrees. Let's denote the measure of angle C as x. The sum of the angles in trapezoid ABCD can be expressed as: angle A + angle B + angle C + angle D = 360 degrees Substituting the given values: 42 degrees + 39 degrees + x + angle D = 360 degrees Simplifying the equation: 81 degrees + x + angle D = 360 degrees Now, we need to find the measure of angle D. Since angle D is an interior angle of triangle ABD, we can use the fact that the sum of the angles in a triangle is 180 degrees. Let's denote the measure of angle D as y. The sum of the angles in triangle ABD can be expressed as: angle A + angle B + angle D = 180 degrees Substituting the given values: 42 degrees + 39 degrees + y = 180 degrees Simplifying the equation: 81 degrees + y = 180 degrees Now, we have two equations: 81 degrees + x + y = 360 degrees (Equation 1) 81 degrees + y = 180 degrees (Equation 2) We can solve this system of equations to find the values of x and y. Subtracting Equation 2 from Equation 1, we get: x = 360 degrees - 180 degrees x = 180 degrees Therefore, the measure of angle C is **180 degrees**. Note: The sources provided do not contain relevant information for this specific geometry problem. The solution is derived using the properties of trapezoids and triangles.