Question

Help in this Ixl for geometry pleaseee

Answer 1

Answer: 82 degrees

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Work Shown:

The four pieces, or arcs, of the circle add up to 360 degrees. Use this fact to find the measure of minor arc AD.

(minor arc AD) + (minor arc DC) + (minor arc CB) + (minor arc BA) = 360

(minor arc AD) + (120) + (100) + (96) = 360

(minor arc AD) + 316 = 360

minor arc AD = 360-316

minor arc AD = 44 degrees

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Combine minor arcs AD and DC to form arc ADC

arc ADC = (minor arc AD) + (minor arc DC)

arc ADC = (44) + (120)

arc ADC = 164 degrees

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Lastly, use the inscribed angle theorem

inscribed angle = (1/2)*(arc measure)

angle B = (1/2)*(arc ADC)

angle B = (1/2)*(164)

angle B = 82 degrees