Example 5
Whatis the measureof in the diagrambelow?Not to scale
Becausethe diagramis not to scale,you cannotfind the measurejust by lookingat this diagram.and measure and respectively. Add thesetwo anglesto find their sum.
The two anglesare complementary. Since is verticalto the right angle,it mustalso be a right angle.So.
LessonSummary
In this lesson,we exploredperpendicularlines.Specifically, we havelearned:
- The propertiesof congruentanglesthat form a linearpair.
- How to identifythe anglesformedby perpendicularintersectinglines.
- How to identifycomplementaryadjacentangles.
Theseskillswill help you solvemanydifferenttypesof problems.Alwaysbe on the lookoutfor new and in-
terestingwaysto applyconceptsperpendicularlines to mathematicalsituations.
Pointsto Consider
Nowthat you understand perpendicularlines, you are goingto takea closerlook at perpendicular
transversals.
LessonExercises
Solveeachproblem.
- Whatis the measureof in the diagrambelow?