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

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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