Question

complete the proof that $overleftrightarrow{vx}perpoverleftrightarrow{uw}$. statement reason 1 $angle uyvcongangle vyw$ given 2 $mangle uyv + mangle vyw=180^{circ}$ angles forming a linear pair sum to $180^{circ}$ 3 $mangle uyv + mangle uyv = 180^{circ}$ substitution 4

Explanation:

Answer:

2m∠UYV = 180°; Simplification of m∠UYV + m∠UYV = 180°
m∠UYV = 90°; Division Property of Equality (divide both sides of 2m∠UYV = 180° by 2)
∠UYV is a right - angle; Definition of a right - angle (an angle with measure 90° is a right - angle)
VX⊥UW; Definition of perpendicular lines (if two lines intersect to form a right - angle, then they are perpendicular)