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Mariulka [41]
3 years ago
9

Find the side indicated by the variable. Round to the nearest tenth.​

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

b ≈ 25.6

Step-by-step explanation:

From the figure attached,

By applying tangent rule in the given triangle,

tan(32°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(32°) = \frac{16}{b}

b = \frac{16}{\text{tan}(32)}

b = \frac{16}{0.62487}

b = 25.605

b ≈ 25.6

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Answer:

∠A = 70°, ∠B = 50°, and ∠C = 60°.

Step-by-step explanation:

In a triangle ΔABC, ∠A + ∠B + ∠C = 180° ......... (1), we know from the property of triangle.

Now, the sum of ∠C and the exterior angle adjacent to ∠C is 180°.

If the exterior angle adjacent to ∠C is 120°, then ∠C = 180° - 120° = 60°.

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Now, given that ∠A = 2x and ∠B = x + 15.

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