Geometry Problems: Angles and Straight Lines
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Questions and Answers

In the figures provided, where AOB is a straight line, what is the value of the unknown in figure (a)?

  • 52°
  • 180°
  • 73° (correct)
  • 135°
  • In the figures provided, where AOB is a straight line, what is the value of the unknown in figure (b)?

    31°

    In the figures provided, where AOB is a straight line, what is the value of the unknown in figure (c)?

    100

    In the figures provided, where AOB is a straight line, what is the value of the unknown in figure (d)?

    <p>110°</p> Signup and view all the answers

    If y° = 45° and z° = 86°, find the value of x in the straight line angles x, y, and z.

    <p>49°</p> Signup and view all the answers

    If x° = 2y° and z° = 3y°, find the value of y in the given equations for the angles x, y, and z on a straight line.

    <p>29°</p> Signup and view all the answers

    In each of the figures provided, find the value of the unknown in sub-figure (a).

    <p>113°</p> Signup and view all the answers

    In each of the figures provided, find the value of the unknown in sub-figure (b).

    <p>26°</p> Signup and view all the answers

    In each of the figures provided, find the value of the unknown in sub-figure (c).

    <p>64°</p> Signup and view all the answers

    In each of the figures provided, find the value of the unknown in sub-figure (d).

    <p>25°</p> Signup and view all the answers

    If AOE=90° and BÔD=48°, what is the value of AỘC in the provided figure of intersecting lines?

    <p>42°</p> Signup and view all the answers

    If AOE=90° and BÔD=48°, what is the value of DÔE in the provided figure of intersecting lines?

    <p>132°</p> Signup and view all the answers

    Study Notes

    Geometry Problems

    Question 5: Finding Unknown Angles

    • Given a straight line AOB, find the unknown angles in each figure:
      • Figure (a): Angle AOC is unknown
      • Figure (b): Angles BOC and BAO are 42° and 73° respectively
      • Figure (c): Angle ACB is 80° and sides are 4 units
      • Figure (d): Angles ACD and BCD are 4d + 16° and 2d + 14° respectively

    Question 6: Angles on a Straight Line

    • Three angles x, y, and z lie on a straight line:
      • If y = 45° and z = 86°, find x
      • If x = 2y and z = 3y, find y

    Question 7: Finding Unknown Angles

    • Find the unknown angles in each figure:
      • Figure (a): Angles are 67°, 52°, and 135°
      • Figure (b): Angles are 5b°, 46°, and 3b°
      • Figure (c): Angles are 16c, 4c°, and 4c°
      • Figure (d): Angles are 6d, (7d + 23)°, and 139°

    Question 8: Angles on a Straight Line

    • Given AOB and COD are straight lines, and AOE = 90° and BÔD = 48°:
      • Find AỘC
      • Find DÔE

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    Description

    Solve geometry problems involving straight lines and angles, including finding unknown angles and understanding relationships between angles on a straight line.

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