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Aleksandr-060686 [28]
3 years ago
11

Find the value of x.​

Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0

Answer:

A. 98

Step-by-step explanation:

This is the exterior angle theorem I'm pretty sure.

This means that 24 + x, would equal 122.

So, 24 + x = 122.

Do the algebra. Subtract on both sides, so 122 - 24 would be 98.

So x = 98

Vlada [557]3 years ago
3 0

Angle BAD and angle BAC are supplementary angles, which means they add up to 180 degrees.

180 = 122 + ?

Subtract 122 from both sides.

BAC = 58 degrees.

We know that the sum of all the interior angles of a triangle is 180 degrees.

180 = 24 + 58 + x

Combine like terms.

180 = 82 + x

Subtract 82 from both sides.

98 degrees = x

Answer choice A is correct

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Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: \frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}.

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