A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference. If \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measures 61^\circ61 ∘ 61, degrees, what does \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measure?

  122°

Step-by-step explanation:

The measure of the central angle is twice the measure of the inscribed angle that subtends the same arc.

  ∠ABC = 2×∠ADC = 2×61°

  ∠ABC = 122°

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