KLMN

In the KLMN trapezoid is given this information:
1. segments KL and MN are parallel
2. segments KL and KM have the same length
3. segments KN, NM, and ML have the same length.

Determine the size of the angle KMN.

Correct answer:

α =  36 °

Step-by-step explanation:

KL=KM KN=NM=ML α=KMN=NKM=MKL β=KNM  KML=βα KLM=180°α(βα)=180°β   ΔKLM: KML=KLM βα=180°β β=180°+α/2;  ΔKMN: 2α+β=180° 2α+90+α/2=180° 2.5α=90°  α=36



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: