<h2>Answer:</h2>
<u>In ΔQRS and ΔQLK</u>,
QR/QL = QS/QK
28/4 = 28/4
7/1 = 7/1 --[1]
<u>AngleLQK and AngleRQS are equal</u> (VOA)
<u>Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar</u>.
[A] ΔQRS ~ ΔQLK by SAS similarity.
Parallel lines never intersect purpendicular lines intersect at a single point forming a 90 degree angle
Tan 2x - cot x = 0
2tan x / (1 - tan^2 x) - 1/tan x = 0
2tan^2 x - (1 - tan^2 x) = 0
2tan^2 x - 1 + tan^2 x = 0
3tan^2 x - 1 = 0
tan^2 x = 1/3
tan x = + or - 1/√3
