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Chpt 1 L5 Angle Pairs.notebook September 15, 2014 DO NOW: 1. If m<AOB=85 degrees, and m<AOC=130 degrees, what does m<BOC=? Classify <BOC. 2. DRAW A DIAGRAM!! S is in the interior of <RQT. If m<RQS is 4x20, and the m<SQT is 3x+14. If m<RQT=155 degrees, what does m<RQS=? Classify <RQS. 1 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 Angle Bisector: A _______ that divides an angle into two __________ angles. It shares an ___________ with the two rays that make up the angle. this is similar to a __________ when dealing with segments. Picture: Example:Example: KM bisects <JKL. Extension: If m<JKL=72, what is the m<JKM? QS bisects <PQR. Solve for x and find m<PQR given that m<PQS = 3x and m<SQR = 5x - 20. 2 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 Types of Angles Vertical Angles: Adjacent Angles: Complementary Angles: Supplementary Angles: 3 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 Matching! 4 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 Application: 5 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 Linear Pair: ________ angles whose noncommon sides are _________ _____. They form a ______ ______. If two angles form a linear pair, then they are ________. Example: Solve for x SUPPLEMENTARY VS. LINEAR PAIR 6 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 Extension problems! 1. 2. DRAW A DIAGRAM 7 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 3. DRAW A DIAGRAM 4. XY bisects <WXZ. m<WXY is 7x7. m<YXZ is 5x+3. DRAW A DIAGRAM a) Solve for x and find the m<WXY. b) Find m<YXZ 5. <ABC and <CBD are vertical angles. If m<ABC is 14x+3, and m<CBD is 10x +13, solve for x and find the m<ABC. DRAW A DIAGRAM 8 Chpt 1 L5 Angle Pairs.notebook September 15, 2014 HELPFUL VIDEOS! https://www.khanacademy.org/math/cceighthgrademath/cc8thgeometry/ cc8thanglesbetweenlines/e/angle_addition_postulate https://www.khanacademy.org/math/cceighthgrademath/cc8thgeometry/ cc8thanglesbetweenlines/v/exampleusingalgebratofindmeasureof complementaryangles https://www.khanacademy.org/math/cceighthgrademath/cc8thgeometry/ cc8thanglesbetweenlines/v/exampleusingalgebratofindmeasureof supplementaryangles 9