Homework Explained - Math Practice 101

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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 (request help)

    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\(\angle 3\)?

  • \(\angle 1 \text{ and } \angle 2\)    
    \(\angle 2 \text{ and } \angle 3 \)    
    \(\angle 1\text{ and } \angle 3\)    
  • Question 11 (request help)

    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\(\angle 3\).

  • Type below:
  • Question 11 (request help)

    c. Solve the equations you wrote in part b for m\(\angle 1\) and m\(\angle 3\), respectively. What do you notice?

  • Type below:
  • Question 11 (request help)

    d. Make a Conjecture Use your answer from part c to make a conjecture as to the relationship between vertical angles.

  • Type below:

H.O.T. Problems Higher Order Thinking

  • Question 12 (request help)

    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.

  • \(x=\)    
  • Question 13 (request help)

    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.

  • m\(\angle E=\)    
    m\(\angle F=\)    
  • Question 14 (request help)

    In the figure below, m\(\angle YXZ\) = 35° and m\(\angle WXV\) = 40°. What is m\(\angle ZXW\)?

    • 180°
    • 105°
    • 75°
    • 15°

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