When a line (transversal) intersects two parallel lines in the same plane, eight angles are formed. In this article, we will teach you how to find the missing angles in this case by using the Parallel Lines and Transversals rules. Show
Related Topics
A step-by-step guide to solving Parallel Lines and Transversals Problem
• Angles 1 and 8 ExamplesParallel Lines and Transversals – Example 1:In the following diagram, two parallel lines are cut by a transversal. What is the value of \(x\)? Solution: The two angles \(3x-15\) and \(2x+7\) are equivalent. Parallel Lines and Transversals – Example 2:In the following diagram, two parallel lines are cut by a transversal. What is the value of \(x\)? Solution: The two angles \(75^\circ\) and \(11x-2\) are equal. \(11x-2=75\) Parallel Lines and Transversals – Example 3:In the following diagram, two parallel lines are cut by a transversal. What is the value of \(x\)? Solution: The two angles \(7x-35\) and \(3x+45\) are equivalents. Parallel Lines and Transversals – Example 4:In the following diagram, two parallel lines are cut by a transversal. What is the value of \(x\)? Solution: The two angles \(3x-27\) and \(-x+33\) are equivalents. Exercises for Parallel Lines and TransversalsFind missing angles with Parallel Lines and Transversals.1.Find the measure of the angle indicated. 2. Solve for \(x\). 3. Find the measure of the angle indicated. 4. Solve for \(x\). 1.\(\color{blue}{110^\circ}\) 2.\(\color{blue}{x=8}\) 3. \(\color{blue}{84^\circ}\) 4.\(\color{blue}{x=5}\) Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math. 3 months ago |