Question

65 + 115 = 180
is l || m? choose your answer...
how do you know? choose your answer...

Explanation:

Step1: Recall the property of parallel lines

If two lines are parallel, then the sum of consecutive interior angles is \(180^{\circ}\).

Step2: Check the sum of given angles

Given angles are \(65^{\circ}\) and \(115^{\circ}\). Calculate \(65 + 115\).

$$65+115 = 180$$

Since the sum of these two angles (which are consecutive interior angles) is \(180^{\circ}\), by the consecutive interior angles theorem, lines \(l\) and \(m\) are parallel.

Answer:

Yes, \(l\parallel m\) because the sum of consecutive interior angles (\(65^{\circ}\) and \(115^{\circ}\)) is \(180^{\circ}\) (by the consecutive interior angles theorem for parallel lines).