In Triangle LMN, angle N is a right angle, LM=76 and MN = 40. What is the measure of angle M?

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Mathematics

Paxton Zhang

Today, 16:37

In Triangle LMN, angle N is a right angle, LM=76 and MN = 40. What is the measure of angle M?

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Lorelei Moran · Answer 1

The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 (Hypotenuse) and MN = 40 (Adjacent). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^ (-1) 0.563158; M = 58.242° = 58° 15'. Answer: The measure of angle M is 58°15'.