Which lines are parallel if m<4 = m<5? Justify your answer.
If m<4 = m<5, it means that angles 4 and 5 are equal in measure.
Lines are parallel if their corresponding angles are equal. Therefore, if m<4 = m<5, it implies that lines associated with angles 4 and 5 are parallel to each other.
To determine which lines are parallel, we need to compare their slopes.
The given condition states that m<4 = m<5, so the slopes of lines 4 and 5 are equal.
If two lines have equal slopes, then they are parallel. This is because the slope represents the rate at which the line increases or decreases. When two lines have the same slope, it means they have the same rate of increase or decrease and therefore they will never intersect, making them parallel.
So, lines 4 and 5 are parallel.
To determine which lines are parallel, we need to compare their slope values. If two lines have the same slope, they are parallel.
Given that m<4 = m<5, we can infer that the slopes of lines 4 and 5 are equal. Therefore, lines 4 and 5 are parallel.