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Complex Polygon Angles
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Complex Polygon Angles
📐 Part 1: Angle Knowledge
1. What is the sum of interior angles in a triangle?
90°
180°
270°
360°
2. What is the sum of interior angles in a quadrilateral?
180°
270°
360°
450°
3. Which angles are shown in this tukutuku pattern? (Tick all that apply)
Acute angles (less than 90°)
Right angles (exactly 90°)
Obtuse angles (greater than 90°)
Straight angles (180°)
4. To find unknown angles in a complex polygon, the best strategy is to:
Guess the angle size
Break it into triangles
Only use a protractor
Add all visible angles
🔢 Part 2: Angle Calculations
5. In triangle ABC, angle A = 65° and angle B = 45°. What is angle C?
Angle C = _______°
6. A pentagon can be divided into _______ triangles. Therefore, the sum of interior angles in a pentagon is _______°.
7. In the quadrilateral below, three angles are 85°, 95°, and 110°. Calculate the fourth angle.
Fourth angle = _______°
8. A hexagon has been divided into triangles. How many triangles are formed and what is the total angle sum?
🎨 Part 3: Tukutuku Pattern Analysis
9. Look at the tukutuku pattern template provided by your teacher. Choose one complex polygon from the pattern and describe how you would break it down to find all its angles.
10. Use your protractor to measure one angle from your tukutuku pattern. Record your measurement and classify the angle type.
Measured angle: _______°
Angle type: _________________ (acute, right, obtuse, or straight)
11. Explain why understanding angles is important when creating traditional Māori tukutuku panels.
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