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The measurement of the angle KLM is 64°.
An angle is a geometrical shape that is formed by two rays or lines, called the sides or arms of the angle, that share a common endpoint, called the vertex of the angle.
Given is a figure, we need to find the measurement of ∠KLM,
Here,
∠KLM + ∠KLJ = 180° [linear pair]
20x+4 + ∠KLJ = 180°
∠KLJ = 176-20x
Consider the triangle, KLJ,
∠KLJ + ∠KJL + ∠JKL = 180° [sum of the interior angles of a Δ)
8x+18+6x+4+176-20x = 180°
-6x = -18
x = 3
So, ∠KLM = 20(3)+4 = 64°
Hence, the measurement of the angle KLM is 64°.
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Rewritten by : Barada
Answer:
In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20.
