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Interior Angles Exploration
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Interior Angles Exploration
📐 Part 1: Understanding Interior Angles
1. What is the sum of interior angles in any triangle?
90°
180°
270°
360°
2. What is the sum of interior angles in any quadrilateral?
180°
270°
360°
450°
3. In a triangle with angles 60° and 70°, what is the third angle?
4. Show your working for question 3:
🔍 Part 2: Finding Unknown Angles
5. In a quadrilateral with angles 85°, 95°, and 110°, find the fourth angle.
Fourth angle = _______°
6. A triangle has angles x°, 45°, and 80°. Write an equation to find x:
Equation: ___________________ = 180°
Therefore x = _______°
7. In a rectangle, each interior angle measures:
45°
60°
90°
120°
8. Explain why all rectangles have the same interior angle measures:
🌟 Part 3: Extension Challenge
9. Advanced: A pentagon (5-sided shape) has interior angles of 100°, 110°, 120°, and two equal unknown angles. Find each unknown angle.
Hint: Research the formula for interior angle sum of polygons: (n-2) × 180°
Each unknown angle = _______°
10. Reflection: Describe one real-world situation where knowing interior angles would be useful:
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