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Complementary, Supplementary, and Vertical angles Review Name_______________________ Complementary angles two angles whose sum is 90º Supplementary angles two angles whose sum is 180º Vertical angles pairs of angles formed by two intersecting lines vertical angles are equal in measure 1 2 3 4 1. In the figure below, Find the measure of ABD and DBC. DBC are ___________________ angles. D A 135o B 2. In the figure below, if C m DBC = __________ QNP is a right angle, QNM and ______________________ angles. If QNP is a right angle, find the measure of m QNM= __________ MNP are Q M 43o QNM. N P 3. A D E C B Which angle is vertical to AEC? __________ Which angle is vertical to CEB? __________ Name an angle that is supplementary to AEC. __________ If the m DEB is 35o, what is the m AEC? __________ If the m DEB is 35o, what is the m AED? __________ 4. In the figure below, EGH is a right angle. H I E G F Which angle is complementary to Which angle is supplementary to 5. In the figure below, Find the measure of IGH. _________ Find the measure of IGF. _________ EGI? EGI? __________ __________ HJK is a right angle. M N J o 48 L O K Find the measure of NLK. __________ Find the measure of JLN. __________ Find the measure of MLO. __________ Which angle is supplementary to JLN? __________ Which angle is complementary to JLN? __________ Which angle is a vertical angle to JLN? __________ Which angle is supplementary to KLM? __________ Parallel Lines and Angles Review Name__________________________ A transversal is a line that intersects two or more lines at different points. In the figure below the transversal is line _________. t 1 2 3 4 5 6 8 7 r When a transversal intersects two parallel lines, the angles that are formed are either equal or supplementary. s 1. Identify the angles in the figure above which are equal to 1. _______________ 2. Identify the angles in the figure above which are equal to 2. _______________ 3. Why are 1 and 4 equal in measure? ________________________________ Some of the pairs of angles formed in the figure above have special names. 4. Alternate interior angles are two nonadjacent interior angles on opposite sides of the transversal. Name two pairs of alternate interior angles. ______________________________________ 5. Corresponding angles are two angles in the same position at the intersection of the transversal and each line. Name four pairs of corresponding angles. ______________________________________ 6. Name two pairs of supplementary angles in this figure. ____________________ 7. If m 3 = 38o, what is m 4? ________ 8. If m 6 = 38o, what is m 7? ________ 9. Label the figure with the measures of all eight angles. 10. In the figure below, if m 2 = 125o, find the measures of the other seven angles and label the figure with the measures. Angle Measure l 1 2 125o 1 2 c 3 3 4 4 5 5 6 6 8 7 d 7 8 When a transversal intersects two parallel lines, many pairs of angles are formed. Think about the names of different pairs of angles listed below. Then, using the accompanying figure, complete each statement using the appropriate name for the identified pair of angles. alternate interior angles alternate exterior angles corresponding angles vertical angles 3 4 5 6 7 8 9 10 supplementary angles 11. 3 and 7 are _______________________________________. 12. 4 and 10 are ______________________________________. 13. 6 and 8 are _______________________________________. 14. 3 and 4 are _______________________________________. 15. 7 and 9 are _______________________________________. 16. 5 and 8 are _______________________________________. 17. 3 2 The flag of Puerto Rico is at the left. Given that m 3 = 55o, determine the 1 measure of 1 and 2. m 1 = ______ m 2 = ______ 18. In the triangle, a line has been drawn through vertex A, parallel to segment BC of the triangle. A 1 2 3 B 4 5 C a. What is the sum of angles 1, 2 and 3? ___________ Why? b. What is the sum of angles 2, 4 and 5? __________ Why? c. m 1= m = _____, because they are a pair of ______________________angles. d. m 3=m = _____, because they are a pair of ______________________angles. e. If m 4 = 32o and m 3 = 77o, then m 1 = ______, m 2 = _____, and m 5 = _____