An acute angle is specified. On one of the sides, 2 points K and L are marked. From these points
| August 16, 2021 | education
An acute angle is specified. On one of the sides, 2 points K and L are marked. From these points, perpendicular straight lines are drawn to the other side of the corner, respectively KM and LN. Prove that these lines are parallel to each other. What is the KLN angle if the MKL angle is 120 °?
Rectangular triangles AKM and ALN are similar in acute angle. Then the angle AKM = ALN.
The angle AKM and ALN are similar angles at the intersection of the straight lines KM and LN of the secant AL, hence the KM is parallel to LN, which was required to prove.
Quadrangle MKLN is a rectangular trapezoid, the sum of the angles at the lateral side is 180, then the angle KLN = 180 – 120 = 60.
Answer: The angle KLN is 60.
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