Line segment DM – bisector of triangle CDE. A straight line is drawn through point M, intersecting the side DE
| September 26, 2021 | education
Line segment DM – bisector of triangle CDE. A straight line is drawn through point M, intersecting the side DE at point N so that DN = MN. Find the angles of triangle DMN if CDE = 74˚.
Find the MDE angle:
∠ MDE = 1/2 * ∠ CDE = 37 °.
By the condition of the problem DN = MN, we conclude that triangle DMN is isosceles.
∠ MDN = ∠ DMN = 37 ° (angles at the base of an isosceles triangle).
∠ DNM = 180 ° – 2 * 37 ° = 106 °.
Answer: 37 °, 37 °, 106 ° angles of the DMN triangle.
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