[外语类试卷]GRE（QUANTITATIVE）练习试卷4及答案与解析.doc

1、GRE（ QUANTITATIVE）练习试卷 4及答案与解析 1 What is the measure of the angle that is supplementary to a 40 angle? 2 What is the measure of the angle that is complementary to a 25 angle? 3 In the figure below, line n is parallel to line m, and line p is parallel to line o. What is the measure of angle ? 4 In th

2、e figure below, line x is parallel to line y. What is the measure of angle ? 5 In the figure below, line t is parallel to line u, and line v is perpendicular to line u. What is the measure of angle ? GRE（ QUANTITATIVE）练习试卷 4答案与解析 1 【正确答案】 Supplementary angles add together to total 180. Therefore, th

3、e supplementary angle to a 40 angle is a 140 angle. 2 【正确答案】 Complementary angles add together to total 90. Therefore, the complementary angle to a 25 angle is a 65 angle. 3 【正确答案】 The answer is 90. You are given that the angle formed by the intersection of line p and line n is a right angle, which

4、is 90. Since line o is parallel to line p, it will make the same angles as any line crossing line p. The same rule applies for line m and line n. Therefore, all of the angles on the diagram are equal to 90. 4 【正确答案】 The answer is 137. The transversal crosses two parallel lines, so the angles made at

5、 the intersections will be identical. 43 corresponds to the supplementary angle of a on line y. Since 43 and a are supplementary angles, they must add up to 180. Therefore, the answer is 137. 5 【正确答案】 The answer is 55. Since line v is perpendicular to line t, it forms four right angles. Another line, which is unnamed in the diagram, dissects one of the right angles. Angle a is one side and 35 is the given measurement for the other side. These two angles are complementary because they must add up to 90: 35+55=90.