In the figure Seg AB is a diameter of the circle with center O m< POB =70°. Write the m (arc PYB), m (Arc Axp)
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Step-by-step explanation:
Proof: Draw seg OD.
∠ACB=90
o
angle inscribed in semicircle
∠ACB=45
CD is the bisector of ∠C
m=2∠ACB=90
o
. inscribed angle theorem
∠DOB=90
o
definition of measure of an arc (I)
seg OA≅ seg OB ..Radii of the circle (II)
∴ line OD is prependi bisector of seg ABFrom (I) and (II)
∴ seg AD≅ seg BD
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