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Solutions to Base Angle Rules Worksheet Check your homework 1 Parallel Lines If two lines are in the same plane and do not intersect, then the lines are said to be parallel. A B C D For example, AB is parallel to CD and we write it as AB CD. 2 A line that meets two or more parallel lines is called a transversal. Line PQRS in the following diagram is a transversal. P Q A R C B D S 3 Alternate Angles are EQUAL "Z" PATTERN 4 5 Corresponding Angles are EQUAL "F" PATTERN 6 7 Interior Angles on the same side of the transversal are SUPPLEMENTARY interior angles "C" PATTERN 8 Example 1: 9 Example 2: In this figure s||t, and m is the transversal. Find the measure of <EBF. m E B A (2x+5)o (4x +25)o G s F t C D H 10 Solution: m The angles are supplementary. E A B (2x+5)o (4x +25)o G s F t C D H Write the equation, (2x+5)+(4x+25) =180. Combine like terms, 6x+30=180 subtract 30 from both sides,6x=150 divide by 6, x = 25 Find the measure of <EBF. 2(25) +5 = 55o 11 Example 3: BG bisects <EBA, & m<8 = 42o, & m<3 = 18o. Find the missing measures of the angles. tells you they are parallel G A 8 B 7 6 4 E C 5 3 1 2 D 1. 2. 3. 18o 4. 5. 6. 7. 8. 42o 12 BG bisects <EBA, & m<8 = 42o, & m<3 = 18o. Find the missing measures of the angles. Solution: G A 8 B 7 6 5 4 E 1 3 2 D C 1.42o 2.120o 3. 18o 4. 42o 5. 42o 6. 96o 7. 42o 8. 42o 13 Attachments Solutions to Base Angle Rules Worksheet.notebook