Math 8: Triangles and Angle Measures Section #2: Supplementary Angles Corresponds with 7th grade Module 6, Lesson 1- 4 Notes # 34 ___ Straight Angle: an angle whose measure is exactly __________, and forms a straight line. Supplementary Angles: Two or more angles that form a ____________________ line, meaning that the sum of the angles is____________. 60° 30° Example # 1 In a complete sentence, describe the angle relationships in the diagram. Write an equation for the angle relationship shown in the figure and solve for 𝑥. 134° x Example # 2 Set up and solve an equation to find the value of 𝑥. Find the measurement of ∠𝐴𝑂𝐵 and of ∠𝐵𝑂𝐶. Example #3: The measures of two supplementary angles are in the ratio of 2: 3. Find the two angles. Example #4: Find the missing angle measures. 38° 43° m° n° You Try 1.) Find the measure of x 34° 2.) Find the measure of each angle. 10x° x 3.) Find the measure of x 2x° 4.) Find the missing angle measures . x 25° x + 10 40° y Name: Section #3: Supplementary Angles Corresponds with 7th grade Module 6, Lesson 1 Math 8 HW# 28 Name: Supplementary Angles 1.) Find the measure of x and y using an equation for both. x° y° 16° 2.) Write an equation to solve for x. 45° 58° x° 3.) The measure of a supplement of an angle is 6° more than twice the measure of the angle. Find the two angles. 4.) The ratio of the measurement of an angle to its supplement is 3: 5. Find the angle and its supplement.