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Year 10 Angles Geometry
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Year 10 Angles Geometry
📐 Part 1: Angles on a Straight Line
1. Two angles on a straight line measure 75° and x°. What is the value of x?
105°
115°
125°
285°
2. Three angles on a straight line are 45°, 85°, and y°. Calculate the value of y.
y = _______°
3. If angles on a straight line are in the ratio 2:3:4, find each angle.
4. Which statement about angles on a straight line is correct?
They always add up to 90°
They always add up to 180°
They always add up to 360°
They can add up to any value
📊 Part 2: Triangles and Angle Properties
5. In a triangle, two angles measure 65° and 48°. What is the third angle?
Third angle = _______°
6. An isosceles triangle has a base angle of 55°. What are the other two angles?
7. In triangle ABC, angle A = 3x°, angle B = 2x°, and angle C = x°. Find the value of x and all three angles.
8. Which of these angle combinations could form a triangle? (Select all that apply)
60°, 60°, 60°
90°, 45°, 45°
100°, 50°, 40°
120°, 30°, 30°
🎯 Part 3: Problem Solving
9. Draw and label a diagram showing two intersecting straight lines. Mark the angles formed and explain the relationship between opposite angles.
10. A triangle has angles measuring (2x + 10)°, (3x - 5)°, and (x + 25)°. Find the value of x and determine what type of triangle this is.
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