# Geometry Problems: Angles and Straight Lines

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73°

31°

100

110°

49°

29°

113°

26°

64°

25°

42°

132°

## Study Notes

### 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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