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  • 23-05-2020
  • Mathematics
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In the figure below, BD and AC are diameters of circle P.
What is the arc measure of major arc DBC in degrees?

In the figure below BD and AC are diameters of circle P What is the arc measure of major arc DBC in degrees class=

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Аноним Аноним
  • 23-05-2020

Answer:

mDBC = 341 °

Step-by-step explanation:

Arc DBC is almost the whole circle, if you were to exclude the degree measure of minor arc DC; which is, in other words m∠ DPC

Now by Vertical Angles Theorem:

m ∠ DPC = m∠ APB, ⇒ provided BD, and AC are diameters

m∠ DPC = 19°

This would mean ⇒

mDBC = 360 - m∠ DPC,

mDBC = 360 - 19,

mDBC = 341 degrees ( ° )

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