Geometry Problems and Angle Calculations
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Questions and Answers

What is the sum of x, y, and z in Problem 7 if COD is an equilateral triangle?

  • 150°
  • 90°
  • 180° (correct)
  • 120°
  • What is the sum of angles x and y for the triangle in Problem 8 (a)?

  • 92° (correct)
  • 88°
  • 70°
  • 102°
  • What is the value of x in Problem 8 (c) if AB and CB are tangents to the circle?

  • 90° (correct)
  • 45°
  • 30°
  • 60°
  • Which angle values in the diagram marked '(i)' in Problem 9 (a) are correct?

    <p>31° and 63°</p> Signup and view all the answers

    What is the value of x in Problem 8 (b) if the angle measures are given as 117° and 102°?

    <p>61°</p> Signup and view all the answers

    Study Notes

    Problem 7

    • O is the center of a circle
    • COD forms an equilateral triangle
    • The question asks for the value of x + y + z

    Problem 8

    • The diagram shows a triangle with two given angles
    • The question asks to find the value of unknown angles x and y

    Problem 8 (ii)

    • The diagram shows a triangle with two given angles
    • The question asks to find the value of unknown angle x

    Problem 8 (iii)

    • The diagram shows a triangle with two given angles
    • The question asks to find the value of unknown angle x

    Problem 8 (c)

    • O is the center of a circle
    • AB and CB are tangents to the circle at points A and C
    • The question asks to find the value of x

    Problem 9 (a)

    • The question shows a diagram with two given angles
    • The question requires marking the diagram correctly, with a checkmark (✔) if the angle values are correct, or a cross (X) otherwise

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    Description

    Test your understanding of geometry with these challenging problems. This quiz covers topics related to triangles, circles, and angle calculations. Utilizing diagrams, you'll find various unknown angles and apply properties of shapes to solve the questions.

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