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20-11-2021
Mathematics

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In the given figure what is the measure of arc BC

In the given figure what is the measure of arc BC class=

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mhanifa mhanifa

20-11-2021

Answer:

48°

Step-by-step explanation:

Both angles A and D intercept same arc BC, hence congruent:

7x - 4 = 2x + 16
7x - 2x = 16 + 4
5x = 20
x = 4

Arc measure is twice the measure of inscribed angle:

mBC = 2(7*4 - 4) = 48

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