A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?

Answer: 23 degrees

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Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees

swapnalimalwadeVT swapnalimalwadeVT · Answer 2 · 2022-05-03T12:27:19+02:00

If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC.

The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees,

The formula we use is shown below

What is the formula for the central angle?

The central angle = 2*(inscribed angle)

The angle ABC = 2*(angle ADC)

46 = 2*(angle ADC)

46/2 = 2*(angle ADC)/2 ... divide both sides by 2

23 = angle ADC

angle ADC = 23 degrees.

Therefore, If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.

To learn more about central angle visit:

https://brainly.com/question/19758686#SPJ3