Verticals Meet Parallels
Part of the Angles section of Coddy's Geometry journey. Lesson 38 of 62.
Some marked pairs match none of the three letters. Then chain: trade an angle for its vertical twin (equal, from chapter 4) until a nameable pair appears. One trade is usually enough.
The 75° sits above the top line, and no single letter joins it to w° directly. But its vertical twin sits between the parallels, also 75°, and that twin makes a C with w°. So 75 + w = 180 and w = 105. Two small rules, chained, reach what neither could alone.
Challenge
MediumThe 55° angle sits above the top parallel; x° sits at the lower crossing.
Find x.
Try it yourself
Solve for x
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Angles
1Meet the Angle
Your First AngleNaming AnglesAdding Adjacent AnglesDegrees and the Full TurnAcute, Right, ObtuseRecap: Adjacent Angles4Vertical Angles
Linear PairsVertical Angles Are EqualSolving with VerticalsAll Four AnglesRecap: At the Crossing2Straight Lines and Supplements
Angles on a LineSupplementary AnglesThree Angles on a LineWrite the EquationRecap: Along the Line5Around a Point
Angles Around a PointThe Missing AngleEqual SlicesFour Angles, One PointRecap: The Full Turn8Transversal Problems
Both Angles LabeledVerticals Meet ParallelsFrom Figure to EquationAlternate with AlgebraRecap: Through the Strip3Right Angles and Complements
Complementary AnglesFinding the ComplementPerpendicular LinesEqual Parts of a CornerRecap: The Right Corner6The Angle Bisector
The Angle BisectorBisected ExpressionsBisecting a Straight AngleRecap: Split in Half