Name: ____________________________ Math 7 Accel. Worksheet: Angle Relationships February 13, 2013 Part I: Identifying Angles. For each of the following diagrams, identify two pairs of alternate interior angles, two pairs of corresponding angles, four pairs of vertical angles, and two pairs of supplementary angles. 1.) Alternate Interior Angles: ______________ ______________ 1 2 3 4 Corresponding Angles: ______________ ______________ 6 5 7 8 Vertical Angles: ______________ ______________ ______________ ______________ Supplementary Angles: ______________ ______________ Part II: Find the missing angle measures. (Note: ∡1 means "the measure of angle1") 2.) ∡1 = ______________ ∡2 = ______________ ∡3 = ______________ 1 65 2 3 3.) Given: m ║n (lines m and n are parallel) 3 1 6 m ∡1 = ______________ 8 ∡3 = ______________ 5 135 4 n 7 ∡4 = ______________ ∡5 = ______________ ∡6 = ______________ ∡7 = ______________ ∡8 = ______________ 4.) ∡1 = ______________ ∡2 = ______________ ∡3 = ______________ 30 3 1 2 100 Part III: Using Algebra. 5.) Given the diagram below, write and solve an equation to find . = ______________ 4x 2x 6.) ∡1 and ∡2 are complementary. The ∡1 = (3 + 4)° and the ∡2 = ( + 6)°. Write and solve an equation to find and find the measures of angles 1 and 2. = ______________ ∡1 = ______________ ∡2 = ______________ Challenge: Find the measures of the numbered angles. (This is not as hard as it looks :o) m n 11 o 3 1 17 9 15 125 8 7 13 2 10 14 o║n║m 12 4 6 16 5 p