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Sindrei [870]
3 years ago
6

The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

C.    m∠N = 69°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

m∠L + m∠M + m∠N = 180

36 + 75 + m∠N = 180

111 + m∠N = 180

m∠N = 69°

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Answer:

Part 1) sin(B)=\frac{21}{29}

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Step-by-step explanation:

<u><em>The complete question is</em></u>

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

sin(B)=\frac{21}{29}

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

csc(A)=\frac{1}{sin(A)}

sin(A)=\frac{BC}{AB} -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

sin(A)=\frac{20}{29}

therefore

csc(A)=\frac{29}{20}

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

cot(A)=\frac{1}{tan(A)}

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substitute the values

tan(A)=\frac{20}{21}

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

112

Step-by-step explanation:

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7 0
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Answer:

The answer to your question is:

Step-by-step explanation:

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