Objectives

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## Objectives

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**Objectives**• Angle Pair Relationships • Adjacent Angles • Vertical Angles • Linear Pair • Complementary Angles • Supplementary Angles**Adjacent angles are “side by side” and share a common**ray. 15º 45º**These are examples of adjacent angles.**45º 80º 35º 55º 130º 50º 85º 20º**These angles are NOT adjacent.**100º 50º 35º 35º 55º 45º**When 2 lines intersect, they make vertical angles.**75º 105º 105º 75º**Vertical angles are opposite one another.**75º 105º 105º 75º**Vertical angles are opposite one another.**75º 105º 105º 75º**Vertical angles are congruent**150º 30º 150º 30º**Supplementary angles add up to 180º.**40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Anglesbut not Adjacent**Complementary angles add up to 90º.**30º 40º 50º 60º Adjacent and Complementary Angles Complementary Anglesbut not Adjacent**Linear Pair**Two adjacent angles (common vertex and a common ray) that form a straight line. So the two angles add up to ? 180**Directions: Identify each pair of angles as vertical,**supplementary, complementary, linear pair or none of the above.**#1**120º 60º Supplementary Angles And a Linear Pair**#2**60º 30º Complementary Angles**#3**Vertical Angles 75º 75º**#4**60º 40º None of the above**#5**60º 60º Vertical Angles**#6**135º 45º Supplementary Angles and a Linear Pair**#7**25º 65º Complementary Angles**#8**90º 50º None of the above**#1**? 45º**#1**135º 45º**#2**65º**#2**25º 65º**#3**35º**#3**35º 35º**#4**? 50º**#4**130º 50º**#5**? 140º**#5**140º 140º**#6 Rectangle**? 40º**#6 Rectangle**50º 40º**ALGEBRA**Two angles form a linear pair. The measure of one angle is 5 times the measure of the other. Find the measure of each angle. Let x° be the measure of one angle. The measure of the other angle is 5x°. Then use the fact that the angles of a linear pair are supplementary to write an equation. EXAMPLE Find angle measures in a linear pair SOLUTION**ANSWER**The measures of the angles are 30° and 5(30)° = 150°. EXAMPLE Find angle measures in a linear pair x + 5x = 180° Write an equation. 6x = 180° Combine like terms. x = 30° Divide each side by 6.**Find m< AEB**4x +8 6x - 42**Homework**Page 38 # 3 – 42 (x3) and 49 – 52 all Honors also: # 45, 55, & 56