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3 years ago

K is equal to l m is equal to n as the angles are marked, what's x and y

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

X - y + x + y = 180
2x = 180
x = 90
2x - 2y = x + y
x = 3y
y = x/3
y = 90/3
y = 30

x - y = 90 - 30 = 60
x + y = 90 + 30 = 120
2x - 2y = 180 - 60 = 120

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levacccp [35]

Answer:

A. $\displaystyle \frac{1}{2}$

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

sin 30°

Step 2: Solve

Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.

Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.

Substituting it into sin, we have:

sin 30° = 1/2 = 0.5

∴ our answer is A.

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ANSWER

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Step-by-step explanation:

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