HELP PLEASE 30 POINTSSSSIn the following diagram, line l and line m are parallel to each other. Line t is a transversal intersect line l and line m.A student named Alex is asked to solve for the degree measure of angle 4, given that the measure of angle 6 is 40°. Alex tells the teacher that the m∠4 = 40°.Explain Alex's mistake. In your explanation, be sure to include the key terms "corresponding angles", “parallel lines”, and "transversal" in your explanation.b. Calculate the correct measure of angle 4.

Answer:The answer to your question is:  ∠4 = 140°Step-by-step explanation:If there are two parallel lines cut by a transversal line 8 angles are formed. These angles are classified as corresponding angles, alternate exterior angles, alternate interior angles and same-side angles.Alternate exterior angles measure the same. Also alternate interior angles measure the same.Same-side angles are supplementary angles, that means that their sum gives 180°.Finally corresponding angles measure the same.In the figure we notice that angles 6 and 8 are same side angles, so:                                     ∠6 + ∠8 = 180and ∠6 = 40°               40 + ∠8 = 180                                    ∠8 = 180 - 40                                    ∠8 = 140°and ∠4 and ∠8 are corresponding angles so,                        ∠4 = ∠8 = 140°