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iven each statement, 2. statement 1. $mangle 1=mangle 3$ a. substitutio…

Question

iven each statement, 2. statement 1. $mangle 1=mangle 3$ a. substitution property of equality b. given c. division property of equality d. angle addition postulate

Explanation:

Brief Explanations

In geometric proofs, when a statement is presented without any prior derivation or calculation (such as \(m\angle1 = m\angle3\) here), it is considered "given". The Substitution Property of Equality involves replacing one quantity with an equal one. The Division Property of Equality is about dividing both sides of an equation. The Angle Addition Postulate relates to adding angles (e.g., \(m\angle AOB+m\angle BOC = m\angle AOC\)). Since there's no indication of substitution, division, or angle - addition operations here, it's just a starting fact for a proof.

Answer:

B. Given