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

<p>61° (B)</p>
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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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