Question

Отрезок дм-биссектриса треугольника CDE. Через точку М проведена прямая,параллельная сторона CD и пересекающая стороне DE в точке N.Найдите углы треугольника DMN,если CDE=68 градусовПожалуйста помогите:)

Answer 1

ДМ-биссектриса, значит, угол СДМ=углу МДЕ=68:2=34 градуса. МN параллельна СД, поэтому угол СДМ=углу ДМN=34 градуса, сумма углов в треугольнике равна 180 градусов, поэтому угол ДNM=180-(34+34)=112 градусов

Answer 2

Bisector of Triangle CDE and Angles of Triangle DMN

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

Let's break down the problem step by step:

1. The bisector of triangle CDE: The bisector of a triangle is a line that divides one of the interior angles of the triangle into two equal angles. In this case, the bisector of triangle CDE passes through point M.

2. Parallel line through point M: A parallel line is a line that never intersects another line. In this case, the parallel line through point M is parallel to side CD and intersects side DE at point N.

Now, let's find the angles of triangle DMN.

Since the bisector of triangle CDE passes through point M, we can conclude that angle CMD is equal to angle CME. This is because the bisector divides angle CDE into two equal angles.

Similarly, since the parallel line through point M is parallel to side CD, we can conclude that angle DMN is equal to angle CDE. This is because corresponding angles formed by a transversal and parallel lines are equal.

Given that angle CDE is 68 degrees, we can conclude that angle DMN is also 68 degrees.

To find the other angles of triangle DMN, we need more information about the triangle, such as the lengths of its sides or other angle measurements.

Please provide any additional information you may have, and I'll be happy to assist you further.