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Helga [31]
3 years ago
14

If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer: x = 184°

Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are <u>Vertical</u> <u>Angles</u>, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.

Then,

m∠2 = m∠4

92=x.(\frac{1}{2})

92=\frac{x}{2}

Value of x is

x=92(2)

x = 184

The value of x is 184°.

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           r : radius of the circle
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Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
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