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GEOMETRY WKST 1.5 CHAPTER 1 SECTION 5 NAME________________________________ HR_____ Date _____/_____/_____ Score: Make a sketch and write an equation to describe each relationship. Adjacent Angles Complementary Angles Linear Pair Vertical Angles Supplementary Angles Identify each pair of angles as adjacent, vertical, and/or as a linear pair. 1. 1 and 2 2. 1 and 6 _________________ _________________ 3. 1 and 5 4. 3 and 2 _________________ _________________ For Exercises 5–7, refer to the figure at the right. 5. Identify two obtuse vertical angles. ___________ 6. Identify two acute adjacent angles. ___________ 7. Identify an angle supplementary to TNU. __________ 8. Find the measures of two complementary angles if the difference in their measures is 18. _____________ Set up an equation and solve based on the following information. For questions 9 & 10, mA = 64.1, and mB = (4x – 30) . Find the measure of each of the following. 9. supplement of A ____________ 10. complement of B ____________ 11. Determine whether this statement is true or false. If false, explain why. If two angles are complementary and congruent, then the measure of each is 90. Circle True or False If false, explain. _________________________________________________________ ________________________________________________________________________ For questions 12 & 13, mXYZ = 2x and mPQR = ( 8x - 20 ) . 12. If XYZ and PQR are supplementary, 13. If XYZ and PQR are complementary, find the measure of each angle. find the measure of each angle. m XYZ = __________ mPQR = __________ m XYZ = __________ mPQR = __________ 14. The measures of two complementary angles are 16z – 9 and 4z + 3. Find the measure of each angle. 15. Find mT, if mT is 20 more than four times the measure of its supplement. One angle = _________ the other= _________ mT = _________ 16. The measure of 1 is five less than four times the m2. Find the measures of 1 and 2 if they form a linear pair. 17. The measure of 3 = (4x - 7) and the m4 = (2x + 15). Find the value of x and m3 if 3 & 4 are vertical angles. m 1 = __________ m2 = __________ x = __________ m3= __________ Find the measure of each angle using the diagram provided. 18. mEBF =______ 19. mEBC =______ b/c_________________________ b/c_________________________