Sciences, Culinary Arts and Personal To learn more, visit our Earning Credit Page. Career Information for an Education in Basic Skills, Jobs in Disaster Recovery: Career Information and Requirements, Career Information for a Degree or Certification in Basic Skills. Earn Transferable Credit & Get your Degree, Same-Side Exterior Angles: Definition & Theorem, Alternate Exterior Angles: Definition & Theorem, Corresponding Angles: Definition, Theorem & Examples, The Parallel Postulate: Definition & Examples, Alternate Interior Angles: Definition, Theorem & Examples, Remote Interior Angles: Definition & Examples, The Perpendicular Transversal Theorem & Its Converse, Linear Pair: Definition, Theorem & Example, Reflexive Property of Congruence: Definition & Examples, Angle Addition Postulate: Definition & Examples, Supplementary Angle: Definition & Theorem, What is a Paragraph Proof? So we know that x cannot be 180 - 112 = 68 degrees, but it could be any other measure. Same-side interior angles 4 and 5 are also supplementary. Let's pretend that we know that angle 4 is 100 degrees and angle 5 is 80 degrees. Log in or sign up to add this lesson to a Custom Course. {{courseNav.course.topics.length}} chapters | This may sound confusing, but this diagram should clear up any uncertainties. Oops, looks like cookies are disabled on your browser. credit by exam that is accepted by over 1,500 colleges and universities. 1) Lines A and B are parallel because the same-side interior angles are supplementary: 111 + 69 = 180. Not sure what college you want to attend yet? flashcard set{{course.flashcardSetCoun > 1 ? At the end, you can test your knowledge with a quiz. The same-side interior angles theorem states that same-side interior angles are supplementary when the lines intersected by the transversal line are parallel. To use this website, please enable javascript in your browser. Get the unbiased info you need to find the right school. - Definition & Examples, Vertical Angles in Geometry: Definition & Examples, Complementary Angles: Definition, Theorem & Examples, The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples, Perpendicular Bisector Theorem: Proof and Example, NY Regents Exam - Geometry: Tutoring Solution, NY Regents Exam - Geometry: Help and Review, McDougal Littell Algebra 2: Online Textbook Help, WEST Middle Grades Mathematics (203): Practice & Study Guide, CUNY Assessment Test in Math: Practice & Study Guide, Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide, GED Math: Quantitative, Arithmetic & Algebraic Problem Solving, Holt McDougal Algebra 2: Online Textbook Help, CSET Math Subtest I (211): Practice & Study Guide, High School Geometry: Homeschool Curriculum. Therefore, we know that the same-side interior angles 3 and 6 are supplementary, or that they add up to 180 degrees. (19) Find the measure of the angle indicated in bold. Karin has taught middle and high school Health and has a master's degree in social work. Working Scholars® Bringing Tuition-Free College to the Community. Then z = 52 since angles x and z must be supplementary due to the same-side interior angle theorem. Then we know that s = 128 since z + s = 180 since they form the transversal line. Study.com has thousands of articles about every So we know that y = 128. Click, Converse of Same Side Interior Angles Theorem, MAT.GEO.302.07 (Same Side Interior Angles - Geometry). credit-by-exam regardless of age or education level. Why aren't same side interior angles congruent? Get access risk-free for 30 days, Some of the additional examples may require multiple applications of the same-side interior angle theorem, solidifying the theorem in the students' memory. A transversal line is simply a line that intersects other lines. So we know that y = 128. Create an account to start this course today. 's' : ''}}. Select a subject to preview related courses: Now, let's pretend that we know that lines a and b are parallel and angle 3 is 70 degrees. Already registered? Let's pretend that we don't know if lines a and b are parallel. What are parallel lines? and career path that can help you find the school that's right for you.