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# Please Check This Small Geometry Proof

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Given: Quadrilateral ABCD is inscribed in circle O.

Prove: m∠A + m∠C = 180º

https://static.k12.com/nextgen_media/assets/8093697-NG_GMT_SemB_10_UT_08.png

**All bolded text are my answers, unbolded is was given**

Answer Choices Given:

Inscribed Angle Theorem

The sum of arcs that make a circle is 360º

Central Angle Theorem

m∠A + m∠B = 180º

m∠A + m∠C = 180º

m(arc)DAB = 2(m∠C)

Statements Reasons
Quadrilateral ABCD is incribed in circle O. Given
m(arc)BCD = 2(m∠A) Central Angle Theorem
m(arc)DAB = 2(m∠​C) Inscribed Angle Theorem
m(arc)BCD + m(arc)DAB = 360º The sum of arcs that make a circle is 360º
2(m∠A) + 2(m∠C) = 360º Substitution Property
m∠A + m∠C = 180º

Division Preperty of Equality

Thank You So Much!!!

Mar 7, 2018

### 1+0 Answers

#1
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Inscribed Angle Theorem

Correct

Correct  !!!!!   Mar 7, 2018