QUESTION IMAGE
Question
statements reasons
- \\(l \parallel n\\) given
- \\(m\angle 3 + m\angle 4 = 180^{\circ}\\)
- \\(m\angle \box + m\angle 5 = 180^{\circ}\\)
- \\(m\angle 3 + m\angle \box = m\angle 8 + m\angle 5\\)
- \\(\angle 4 \cong \angle 8\\)
- \\(m\angle \box = m\angle 8\\) definition of congruent angles
- \\(m\angle 3 + m\angle \box = m\angle 8 + m\angle 5\\)
- \\(m\angle 3 = m\angle 5\\) subtraction property of equality
- \\(\angle 3 \cong \angle 5\\) definition of congruent angles
Identificar la razón para la afirmación 2
$$
\text{Afirmación 2: } m\angle3 + m\angle4 = 180^\circ \implies \text{Linear Pair Postulate}
$$
Identificar el ángulo faltante en la afirmación 3
$$
\text{Afirmación 3: } m\angle8 + m\angle5 = 180^\circ \implies \text{Ángulo faltante: } 8
$$
Identificar el ángulo faltante en la afirmación 4
$$
\text{Afirmación 4: } m\angle3 + m\angle4 = m\angle8 + m\angle5 \implies \text{Ángulo faltante: } 4
$$
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Question 1
- \(m\angle3 + m\angle4 = 180^\circ\) tiene como razón <blank>Linear Pair Postulate</blank>.
- \(m\angle\) <blank>8</blank> \(+ m\angle5 = 180^\circ\)
- \(m\angle3 + m\angle\) <blank>4</blank> \(= m\angle8 + m\angle5\)