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gogolik [260]
3 years ago
15

*HELP* BRAINLIEST!!!

Mathematics
1 answer:
prisoha [69]3 years ago
8 0

Answer: The correct answer is option B: The vertical angle

Step-by-step explanation: Please refer to the picture attached for further details.

The circle with center O has an arc AB with a central angle of 42 degrees as shown in the diagram (not draw to scale).

If the line A is extended to point D and also line B is extended to point C both along the circumference of the circle O, then you would have another arc CD on the circle.

If two intersecting lines AD and BC form a pair of angles (shown here as 42° and x°) the angles are called vertical angles, and vertical angles in a circle are equal.

Hence the only thing that can be shown to measure 42 degrees in the question above is a vertical angle.

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Step-by-step explanation:

Solve for x:

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Add 1/4 to both sides:

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or tan(x) = 1/2 - (i sqrt(3))/2

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or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

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