Question

angles wlt, rlt, and rlg are shown. given: m∠2 = m∠3 prove: ∠wlr ≅ ∠tlg an incomplete flow - chart proof is shown. what definition, postulate, or theorem should be used for reasons 2 and 3? angle addition postulate definition of supplementary angles supplements of congruent angles are congruent. if two lines intersect, then vertical angles are congruent.

Explanation:

The Angle - Addition Postulate states that if we have two adjacent angles, the measure of the larger angle formed is the sum of the measures of the two smaller adjacent angles. In the given proof, $m\angle2 + m\angle1=m\angle TLG$ and $m\angle3 + m\angle1=m\angle WLR$ are obtained by adding adjacent - angle measures, which is in line with the Angle - Addition Postulate.

Answer:

Angle Addition Postulate