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23-02-2021
Mathematics

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Arc BD has a measure that is twice as big as angle ABC. Arc BD measures 180 degrees. Angle ABC measures (5x-1). What is the value of x?

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helpfulmann helpfulmann

23-02-2021

Answer:

The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

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