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1. In this figure, line m is parallel to line n, and p is a
1. In this figure, line m is parallel to line n, and p is atransversal. If one of the angles formed by the intersection
of these lines is 54°, then how many angles will
have the measure of 126°?
PA
m
n
O 3
O 5
O 4
O 6
Final answer:When a transversal intersects parallel lines, it forms matching corresponding angles. The question asks for angles supplementary to an angle of 54° which would be 126°. Since there are two sets of corresponding angles in this case, a total of four angles will have a measure of 126°.Explanation:InGeometry, when a transversal line crosses multiple parallel lines, it forms several sets of equal and supplementary angles. An angle of 54° is formed and because the lines are parallel, there will be another angle of 54° in the alternate place on thetransversal. The angles that are on the same side of thetransversalbut in each of the parallel lines will be supplementary to 54°. So, they will add up to 180°, which means those angles will be 180° - 54° = 126°. These are called corresponding angles. Because there are two parallel lines, there will be a total of four corresponding angles that are 126°. Hence, the answer is four.Learn more about Geometry here:brainly.com/question/31408211#SPJ11...