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Grade 7 McGraw Hill Glencoe - Answer Keys
Chapter 7: Geometric Figures; Lesson 2: Complementary and Supplementary Angles
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Question 11
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Use the figure at the right.
a. Are \(\angle 1\) and \(\angle 2\) vertical angles, adjacent angles, or neither? \(\angle 2\) and\(\angle 3\)? \(\angle 1\) and\(\angle 3\)?
Question 11
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b.Write an equation representing the sum of m\(\angle 1\) and m\(\angle 2\). Then write an equation representing the sum of m\(\angle 2\) and m\(\angle 3\).
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Question 11
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c. Solve the equations you wrote in part b for m\(\angle 1\) and m\(\angle 3\), respectively. What do you notice?
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Question 11
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d. Make a Conjecture Use your answer from part c to make a conjecture as to the relationship between vertical angles.
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H.O.T. Problems Higher Order Thinking
Question 12
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Reason Inductively When a basketball hits a hard, level surface, it bounces off at the same angle at which it hits. Use the figure to find the angle at which the ball hit the floor.
Question 13
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Persevere with Problems Angles E and F are complementary. If m\(\angle E\) = x - 10 and m\(\angle F\)= x + 2, find the measure of each angle.
Question 14
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In the figure below, m\(\angle YXZ\) = 35° and m\(\angle WXV\) = 40°. What is m\(\angle ZXW\)?