Acute triangle

In the acute triangle KLM, V is the intersection of its heights, and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM, and the angle MKL is 70°. What size are the KLM and KML angles?

Correct answer:

KLM =  55 °
KML =  55 °

Step-by-step explanation:

MKL=70  MKL + KLM + KML = 180°  δ = 90°  KLM  KMX=90MKL=9070=20  2δ = 90° KMX δ=(90KMX)/2=(9020)/2=35   KLM=KLM=90δ=9035=55

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