Geometry Problems: Angles and Straight Lines

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12 Questions

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

73°

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)?

110°

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

49°

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.

29°

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

113°

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

26°

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

64°

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

25°

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

42°

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

132°

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

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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