Find the values of a, b, and c if lines m and n are parallel. Note: This diagram is not to scale.
Parallel lines are cut by three transversals. Some angles that are formed are labeled with their angle measures while some others are labeled as a, b, and c.Horizontal, parallel lines m and n are shown. Three transversals cut through the parallel lines, intersecting line m in three different points but intersecting line n all at the same point. Several angles between the two parallel lines are labeled. The first transversal on the far left intersects line m and then slopes down and to the right in order to intersect with line n. Where it crosses line m, the angle in the bottom right corner is labeled as a degrees. Where it crosses line n the angle in the top left corner is labeled 36 degrees. The second transversal is to the right of the first but also intersects line m and then slopes down and to the right in order to intersect with line n. Where it crosses line m, the angle on the bottom left is labeled as b degrees and the angle on the bottom right is labeled as c degrees. The third transversal on the far right intersects line m and then slopes down and to the left in order to intersect with line n. Where it crosses line m the angle on the bottom right is labeled 139 degrees. The angle formed above line n in between the second and third transversals is labeled 77 degrees.
(1 point)
Responses
a = 41, b = 144, c = 36
a = 41, b = 144, c = 36
a = 77, b = 118, c = 62
a = 77, b = 118, c = 62
a = 36, b = 103, c = 77
a = 36, b = 103, c = 77
a = 36, b = 118, c = 62
1 answer
1 answer