In ΔKLM, the measure of ∠M=90°, the measure of ∠K=68°, and MK = 42 feet. Find the length of LM to the nearest tenth of a foot.

Mathematics

1 answer:

Serhud [2]3 years ago

6 0

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

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How to do this problem??

lorasvet [3.4K]

We know that the sum of the inner angles of any triangle is 180º

72º + (7x + 3)º + (3x + 5)º = 180º
72º + 7xº + 3º + 3xº + 5º = 180
7xº + 3xº = 180º - 72º - 3º - 5º
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The sum of the external angle (9y + 1)º with inner angle (3x + 5) = 180 °, Replace the measure of "x" found:

(9y + 1)º + (3x + 5)º = 180º
9yº + 1º + 3xº + 5º = 180º
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Answer:
The measures of "x" and "y" are respectively: 10º and 16º

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