Question

DM биссектриса треугольника ADC.Через точку M проведена прямая,параллельная стороне CD и пересекающая сторону DA в точке N.Найти углы треугольника DMN,если угол ADC равен 74 градусам.

Answer 1

Биссектриса ДМ делит угол Д на <АДМ=<СДМ=<АДС/2=74/2=37°
<NMД=<СДМ=37° как накрест лежащие при пересечении параллельных прямых NM и СД секущей ДМ
<ДNM=180-<NMД-<NДМ=180-37-37=106°
Ответ: 37°, 37° и 106°

Answer 2

Bisector of Triangle ADC and Parallel Line

To find the angles of triangle DMN, we need to consider the given information about the bisector of triangle ADC and the parallel line through point M.

Let's break down the problem step by step:

1. Triangle ADC: We are given that angle ADC is equal to 74 degrees.

2. Bisector of Triangle ADC: The bisector of triangle ADC passes through point M. However, we don't have any specific information about the bisector itself or its intersection with the sides of the triangle.

3. Parallel Line through Point M: A line parallel to side CD passes through point M and intersects side DA at point N.

Based on the given information, we can't determine the exact angles of triangle DMN without additional details about the bisector or the intersection points.

Please provide more information or clarify the problem statement if you have any additional details.