Question

in the figure ( l parallel m ). ( angle 4 ) and ( angle 5 ) are called

linear pair
alternate interior angles
vertical angles
corresponding angles
consecutive interior angles
alternate exterior angles

Explanation:

• Linear Pair: A linear pair is a pair of adjacent angles whose non - common sides are opposite rays. \(\angle4\) and \(\angle5\) are not adjacent in this sense.
• Corresponding Angles: Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. For example, \(\angle2\) and \(\angle6\) are corresponding angles.
• Alternate Interior Angles: Alternate interior angles are non - adjacent interior angles on opposite sides of the transversal. For example, \(\angle4\) and \(\angle6\) are alternate interior angles.
• Vertical Angles: Vertical angles are opposite angles formed by the intersection of two lines. For example, \(\angle1\) and \(\angle3\) are vertical angles.
• Consecutive Interior Angles: Consecutive interior angles (also known as same - side interior angles) are two interior angles on the same side of the transversal. Here, lines \(l\parallel m\) and \(n\) is the transversal. \(\angle4\) and \(\angle5\) are on the same side of the transversal \(n\) and between the parallel lines \(l\) and \(m\).
• Alternate Exterior Angles: Alternate exterior angles are non - adjacent exterior angles on opposite sides of the transversal.

Answer:

Consecutive Interior Angles