Given: Quadrilateral ABCD is inscribed in circle O.
Prove: mA+mC=180dg
Fill in the blanks(___) to complete the proof.
Statements: Reason:
Quadrilateral ABCD is inscribed in circle O. Given
m(arc)BCD=2(mA) 1._____
2._____ Inscribed Angle Theorem
m(arc)BCD+m(arc)DAB=360dg 3.____
2(mA)+2(mC)=360dg Substitution Property
4._____ Division Property of Equality
Here are the options: Inscribed Angle Theorem, The sum of the arcs that make a circle is 360dg, Central Angle Theorem, mA+mB=180dg, mA+mC=180dg, and m(arc)DAB=2(mC).
