Warm Up Tell whether each angle is acute

Warm Up Tell whether each angle is acute, right, obtuse or straight Obtuse Acute Right Straight Acute

Lesson 7 -1 You will learn to classify angles and find their measures

Parts of an Angle A e sid vertex B 1 Angle measure side C An Angle can be named in several ways 1 By its vertex 2 By its vertex and a point on each side <ABC , <CBA 3 By a number <1 <B

Types of Angles Acute angle more than 0 o & less than 90 o Obtuse angle More than 90 o & less than 180 o Exactly 180 o Right angle Exactly 90 o Straight angle

pairs of Angles 1 Complementary angles: Two angles whose measures add to 90 o 55 o 60 o 30 o 2 35 o Supplementary angles: Two angles whose measures add to 180 o 120 o 60 o Linear Pair 105 o 75 o

3 Adjacent angles: Two angles that have a common side, a common vertex and do not overlap. Adjacent Non–Adjacent Neighbors 4 Non-Adjacent No Common vertex They overlap Congruent angles: angles that have the same measure A B D 60 o C E <ABC 60 o F <DEF

4 Vertical angles: Two opposite angles that formed by two intersecting lines. Vertical <s are 1 3 4 2 <1 <2 <3 <4

Identify each pair of angles as: adjacent, vertical, complementary, supplementary, or a Linear pair. 1. Adjacent 2. 3. Adjacent 4. 5. Adjacent 6. 7. Vertical 8. Vertical Adjacent Linear pair Complementary Adjacent 9. Supplementary

Find the missing angle, then name The relationship: Supplementary, complementary, linear pair, adjacent or vertical 70 o 140 o 40 xo Linear pair 50 o 70 xo 40 xo Vertical Complementary 60 xo 120 o 55 o 35 xo Complementary 30 o Linear pair 150 x o Linear Pair

Homework Page 333 #s: (8 – 22)all

8. The diagram shows the intersection of three metal supports on an amusement park ride. Based on the diagram, what should be the m<CBD? C A B 62 o F Ans: E <CBD and <FBE are complementary <s m<CBD = 90 o – 62 o = 28 o D

Use the diagram to name Each angle 9. A right <s Y Ans: <YWZ 10. Two acute <s Z 30 o Ans: <XWY and <ZWV X 60 o W 11. Two obtuse <s Ans: <XWZ and <YWV 12. A pair of complemenatary <s Ans: <XWY and <ZWV 13. Two pairs of supplementary <s Ans: <XWY and <YWV OR <XWZ and <ZWV V

Use the diagram to find each angle measure. 14. If m<2 = 126 o, find m<3 Ans: <2 and <3 are Linear pair <s m<3 = 180 o – 126 o = 54 o 4 3 15. Find m<4 Ans: <2 and <4 are vertical <s m<4 = 126 o 2 1

16. The diagram shows he intersection of three seams on a quilt. Based on the diagram, what should be the measure of <ABC? A Ans: <ABC and <CBD are linear pair <s C B 45 o m<ABC = 180 o – 45 o = 135 o E D

Write True or false. If the statement is false, rewrite it so it is true. 17. <QUR is an obtuse angle False It’s a right < 18. <4 and <2 are supplementary True 1 4 T 19. <1 and <6 are supplementary False Complementary <s 20. <3 and <1 are complementary True 21. If m<1=35 o, then m<6=40 o False m<6=55 o 22. If m<SUN=150 o, then m<SUR=150 o False m<SUR=30 o P N U 3 6 2 5 S R Q