Intersection 5413

In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK.

Correct answer:

K =  56 °
M =  56 °

Step-by-step explanation:


M + x + 90 = 180
K + x + 90 = 180
K + M + 68 = 180

M+x = 90
K+x = 90
K+M = 112

Pivot: Row 1 ↔ Row 2
K+x = 90
M+x = 90
K+M = 112

Row 3 - Row 1 → Row 3
K+x = 90
M+x = 90
M-x = 22

Row 3 - Row 2 → Row 3
K+x = 90
M+x = 90
-2x = -68


x = -68/-2 = 34
M = 90-x = 90-34 = 56
K = 90-x = 90-34 = 56

K = 56
M = 56
x = 34

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