By using the properties of linear pairs and the Transitive Property of Equality, it is proved that the measures of Angle 2 and Angle 3 are approximately equal.
To complete this proof using the paragraph method with the given information: 'Angle 1 and Angle 2 form a linear pair; m Angle 1 + Angle 3 = 180°', we are aiming to prove that Angle 2 is approximately equal to Angle 3. When two angles form a linear pair, they are supplementary, which means their measures add up to 180°. Therefore, the measure of Angle 1 plus the measure of Angle 2 equals 180° (by definition of linear pair).
Since m Angle 1 + m Angle 3 also equals 180° (given), we have two expressions that both equal 180°. By the Transitive Property of Equality, m Angle 1 + m Angle 2 = m Angle 1 + m Angle 3. By subtracting the measure of Angle 1 from both sides, we find that m Angle 2 is approximately equal to m Angle 3. Hence, Angle 2 ≈ Angle 3 is proven.