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Complete the proof that \( m \angle X+m \angle Y=90^{\circ} \).
Statement
1
\( \overline{y z} \perp \overline{x z} \)
\( 2 m \angle Z=90^{\circ} \)
\( 3 m \angle X+m \angle Y+m \angle Z=180^{\circ} \)
\( 4 m \angle X+m \angle Y+90^{\circ}=180^{\circ} \)
Reason
Given
Definition of perpendicular lines
Triangle Angle Sum Theorem
\( 5 m \angle X+m \angle Y=90^{\circ} \)
Substitution
Properties of addition, subtraction, multiplication, and division