The missing Statement and Reasons in the proof given are :
- R3 ______ Linear angle pair
- S4 _______ m∠Z + m∠W = 180°
- R5 _____ Substitution property of equality
- During the intersection of two lines, two angles are formed which are adjacent each other. The sum of the two adjacent angles sums up to 180°, The two angles are linear pairs.
- When the sum of two angles equals 180°. The angles are said to be supplementary.
- Since the m∠Z + m∠W = 180° and m∠X + m∠Y = m∠W ; Hence, m∠X + m∠Y + m∠Z = 180° ; since replacing the quantities in the expression still gives a value of 180°; Hence, the substitution property of equality.
Therefore, the last reason is the substitution property of equality.
Learn more :https://brainly.com/question/18473713
