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An angle is produced at the <u>point</u> where two or more lines<em> meet</em>. Thus the <u>value</u> of LP required in the question is approximately 14.
Two<em> lines</em> are said to be <em>perpendicular</em> when a <u>measure</u> of the angle <u>between</u> them is a <em>right angle</em>. While <u>parallel</u> lines are lines that do not meet even when <u>extended</u> to <em>infinity</em>.
From the question, let the <u>length</u> of LP be represented by x.
Thus, from the given question, it can be <u>deduced </u>that;
LM ≅ PN = 20
KP = KN - PN
= 30 - 20
KP = 10
LP = x
Also,
<MLP is a right angle, so that;
< KLP = < KLM - <PLM
= 126 - 90
<KLP =
So that applying the Pythagoras theorem to triangle KLP, we have;
Tan θ =
Tan 36 =
x =
=
x = 13.765
Therefore the <em>side</em> LP ≅ 14.
For more clarifications on segments and angles, visit: brainly.com/question/4976881
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